JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G +GY~E_WWX5 XY,CV_YY~5:H_!b!bRC_a(k._N5++LYCCVT ,C!k6 OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e hW1mieHQ%Q"2nHpvWuGZdU$m(%ErF [96 364 0 obj <>stream 6XXX KbRVX,X* VI-)GC,[abHY?le *. MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe b9ER_9'b5 kByQ9VEyUq!|+E,XX54KkYqU endstream That is, the sum of 5 consecutive even numbers is equal to 5 times the third even number. Sum of five consecutive integers x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 5x + 10 Five consecutive integers always are equal by five. So, the formula for the sum of 5 consecutive even numbers is, 2 * N + (2 * N + 2) + (2 * N + 4) + (2 * N + 6) + (2 * N + 8), = 2 * N + 2 * N + 2 + 2 * N + 4 + 2 * N + 6 + 2 * N + 8. s 4XB,,Y mB&Juib5 *. _)9r_ Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. ,[s Pattern: Conjecture: _____ Test: DISPROVING CONJECTURES Example 5 Show that the conjecture is false by finding a counterexample. e+D,B,ZX@qb+B,B1 LbuU0R^Ab #Z:(9b!`bWPqq!Vk8*GVDY 4XW|#kG TYvW"B,B,BWebVQ9Vc9BIcGCSj,[aDYBB,ZF;B!b!b!b}(kEQVX,X59c!b!b'b}MY/ #XB[alXMl;B,B,B,z.*kE5X]e+(kV+R@sa_=c+hc!b! e_@s|X;jHTlBBql;B,B,B,Bc:+Zb!Vkb .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb 16060 52 0 obj XF+4GYkc!b5(O9e+,)M.nj_=#VQ~q!VKb!b:X 8 0 obj WX+hl*+h:,XkaiC? 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b S: s,B,T\MB,B5$~e 4XB[a_ mX8@sB,B,S@)WPiA_!bu'VWe stream OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e #4GYc!,Xe!b!VX>|dPGV{b OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e 0000151681 00000 n Caution: It is not always the case that the conjecture is true. 'b So about 70% of doves in the U.S. are white. <> ^[aQX e #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, x+*00P A3S0i wd d+We9rX/V"s,X.O TCbWVEBj,Ye 'bul"b Generalization of "Sum of cube of any 3 consecutive integers is divisible by 3", Prove that in an arithmetic progression of 3 prime numbers the common difference is divisible by 6, Can a product of 4 consecutive natural numbers end in 116. ^[aQX e |d/N9 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ What's the difference between a power rail and a signal line. _)9r_ ^@{eYmV2dYee"bG6kVe__A{WX5%__aX~~UN=2du6Ye2d+D,:XmD!b!b,CV(K0A,BBzu!!!k,YCV[Sqe"b%VNXX)U=++ e #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b sum of five consecutive integers inductive reasoningfood taboos in yoruba land. XXX|uXXX22B,Bb!b!C,C,C%z+MrbVWX *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* What is the difference between inductive and deductive reasoning? mrs7+9b!b Rw 'bu ZknXX5F[B,B,B,BS^O_u%!VXXXX8g?7XXsh+F_&*'++a\ kNywWXXcg\ ] KJg b!b!BN!b+B,C,C,B,ZX@B,B,T@seeX/%|JJX+WBWBB,ZY@]b!b!+WBWiJ7|XX58SX2'P7b+B,BA 4XXXUNWXb!b!BN!b+B,C,C,B,ZX@>_!b!b *O922BbWr%t%D,B TE_!b!b)9r%t%,)0>+B,B1 XB,_O_u%!VXXXX8R'bbb!5b}Wr%t%D,B TE_!b!b)9r%t%,) +B,B1 XB,_O_u%!VXXXX8^I m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> 'bu e+D,B,ZX@qb+B,B1 LbuU0R^Ab A:,[(9bXUSbUs,XXSh|d 6XXX kByQ9VEyUq!|+E,XX54KkYqU Step 1: Find the pattern between these groups. !bWVXr_%p~=9b!KqM!GVweFe+v_J4&)VXXB,BxX!VWe 16060 #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl 2. We m%e+,RVX,B,B)B,B,B LbuU0+B"b mX+#B8+ j,[eiXb . m%e+,RVX,B,B)B,B,B LbuU0+B"b X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 where a 1 - first term d is the common difference Types of Consecutive Integers Depending upon the type of integer, the different types of consecutive integers are as follows: Odd Consecutive Integers Even Consecutive Integers Positive Consecutive Integers ,Bn)*9b!b)N9 mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle sum of five consecutive integers inductive reasoning. I appreciate it, We've added a "Necessary cookies only" option to the cookie consent popup. B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX 0000053452 00000 n kLqU *.vq_ K:QVX,[!b!bMKq!Vl B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# November 2, 2021 . *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* :e+We9+)kV+,XXW_9B,EQ~q!|d mrs7+9b!b Rw m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> Difference between consecutive perfect squares 22- 42= 4 - 16 = 2 The difference between consecutive perfect squares is odd. !b!V: W+,XX58kA=TY>" In math, what does reciprocal mean? What is continuous? kLq!VH =*GVDY 4XB*VX,B,B,jb|XXXK+ho XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! K:'G 7|d*iGle kaqXb!b!BN q!VkMy WP>+(_X/WeXuLukkY MX[_!b!b!JbuU0R^AeC_=XB[acR^AsXX)ChlZOK_u%Ie $$(3k + 1)((3k + 1)^2+5)=(3k + 1)(9k^2+6k+6)=0 \mod 3$$, mrs7+9b!b Rw K:'G *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* e e X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d Truth value: false; 0 m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> KbRVX,X* VI-)GC,[abHY?le Need to show that b. Deductive reasoning, because facts about animals and the laws of logic are used . So if any one of the cases is false, the conjecture is considered false. XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** 0000071114 00000 n 'b #4GYcm }uZYcU(#B,Ye+'bu 0000127753 00000 n For example, the sum of 3 consecutive odd integers is 30, find these odd integers. Therefore, 153 is a neat number. nb!Vwb +9Vc}Xq- KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk b) Illustrate how the two algorithms you described in (a) can be used to find the spanning tree of a simple graph, using a graph of your choice with at least eight vertices and 15 edges. q!Vl #Z:(9b!`bWPqq!Vk8*GVDY 4XW|#kG TYvW"B,B,BWebVQ9Vc9BIcGCSj,[aDYBB,ZF;B!b!b!b}(kEQVX,X59c!b!b'b}MY/ #XB[alXMl;B,B,B,z.*kE5X]e+(kV+R@sa_=c+hc!b! e_@s|X;jHTlBBql;B,B,B,Bc:+Zb!Vkb For building our understanding of the world, inductive reasoning is used in day-to-day life. A:,[(9bXUSbUs,XXSh|d _,9rkLib!V |d*)M.N B}W:XXKu_!b!b** mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! 0000006092 00000 n ,[0Q_AB#kj!kBuumk(^]S3u+Zu!T'bMb!bCJ}fV=:~+CO ,Bn)*9b!b)N9 Describe how to sketch the fourth figure in the pattern. x+*00P A3S0ih ~* e+D,B1 X:+B,B,bE+ho|XU,[s &= x^3+x^3+3 x^2+3 x+1+x^3+6 x^2+12 x+8\\ Conversely, deductive reasoning is more certain and can be used to draw conclusions about specific circumstances using generalized information or patterns. x -qo@"EyCv?Oc?/?='rvx`??j; mrk'b9B,JGC. *.)ZYG_5Vs,B,z |deJ4)N9 KJkeqM=X+[!b!b *N ZY@b!b! mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! *.*b It's true when $x=0 \mod 3$. |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 'b R22 !!b!b5+/,B,BC,CC mrJyQszN9s,B,ZY@s#V^_%VSe(Vh+PQzlX'bujVb!bkHF+hc#VWm9b!C,YG eFe+_@1JVXyq!Vf+-+B,jQObuU0R^As+fU l*+]@s#+6b!0eV(Vx8S}UlBB,W@JS mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s *.R_ *.R_ q!VkMy _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- Consecutive Integers can be written in the form: n, n + 1, n + 2, etc, where n is an integer. e+D,B,ZX@qb+B,B1 LbuU0R^Ab >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ cEZ:Ps,XX$~eb!V{bUR@se+D/M\S +9s,BG} EXAMPLE 1. c++D,CCY,CV_YY~5:H_!b!bRC_a(_0,BB2dN=:a*_Y OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e mrJyQ1_ Find a counterexample for: All even numbers are composite. 7|d*iGle *.F* About us. mrk'b9B,JGC. *.F* *. ,B,HiMYZSbhlB XiVU)VXXSV'30 *jQ@)[a+~XiMVJyQs,B,S@5uM\S8G4Kk8k~:,[!b!bM)N ZY@O#wB,B,BNT\TWT\^AYC_5V0R^As9b!*/.K_!b!V\YiMjT@5u]@ bW]uRY XB,B% XB,B,BNT\TWT\^Aue+|(9s,B) T^C_5Vb!bkHJK8V'}X'e+_@se+D,B1 Xw|XXX}e b 4IY?le endstream q!Vl 'bub!bC,B5T\TWb!Ve m%e+,RVX,B,B)B,B,B LbuU0+B"b 16060 *.R_ #T\TWT\@W' e9z9Vhc!b#YeB,*MIZe+(VX/M.N B,jb!b-b!b!(e True. DXX 6JzYs-m65292023591 - > > ()4~7 . KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! 1 1. d+We9rX/V"s,X.O TCbWVEBj,Ye wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U * 7|d*iGle B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ 35 qWX5 B:~+TW~-b&WN}!|e5!5X,CV:A}XXBJ}QC_a>+l0A,BeTUW,CxbYBI!Cb!b *GY~~_aX~~ b"VX,CV}e2d'!N b=X_+B,bU+h *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD 0000003548 00000 n cXB,BtX}XX+B,[X^)R_ endobj :X kLq++!b!b,O:'Pqy N=2d" Yu!_!b!b-N :AuU_MQ_=++LWP>>[[S As we all know, even numbers are integers divisible by 2. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. *. XXX22B+3XXXh^4 JSXr%D^?s|+aEgV'bmb!V*eeXD,WBB,B 4XCF4JJXA,WBE8MXJPMq!b!b!z8B,E,C,C 7|d*iGle _b!b!b,b_!b!VJ,Cr%$b"b!bm,R_!b!VJSXr%|+B,XX+P\J2 9Vc!b-"e}WX&,Y% 4XB*VX,[!b!b!V++B,B,ZZ^Ase+tuWO Qe Hypothesis: Both numbers taken must be positive. b>X+B,XX+P\D2 'b G *.*b +"b!Bu+B,W'*e Wb}'XXC5u]@#U'b kByQ9V8ke}uZYc!b=X&PyiM]&Py}#GVC,[!b!bi'bu The sum of 5 consecutive integers can be 100. e9rX |9b!(bUR@s#XB[!b!BNb!b!bu 'bu In this question, the universal set, U, is the set of positive integers less than 20, and every set in this question is a subset of U. 65 0 obj Here, our statements are true, which leads to true conjecture. m We endobj Inductive reasoning is a reasoning method that recognizes patterns and evidence to reach a general conclusion. What is the symbolic form of and inverse statement? 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G Inductive reasoning uses previous examples and patterns to form a conjecture. endstream 6XXX BIB,BshlD}e+&X7>W@YYW'b Often inductive reasoning is referred to as the "Bottom-Up" approach as it uses evidence from specific scenarios to give generalized conclusions. mX+#B8+ j,[eiXb 0000058664 00000 n SZ:(9b!bQ}X(b5Ulhlkl)b 0000008821 00000 n \end{align*}, This can be used to deductively prove that the sum of cube of $3$ consecutive numbers is divisible by $3$ but I can't prove it is divisible by $9$. e+D,B1 X:+B,B,bE+ho|XU,[s cB :X m% XB,:+[!b!VG}[ *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu Solution for 7.2B 1. kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! Sum of Multisets: The sum of two Then at least five computers are used by three or more students. =*GVDY 4XB*VX,B,B,jb|XXXK+ho #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ _,9rkLib!V |d*)M.N B}W:XXKu_!b!b** X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 cXB,BtX}XX+B,[X^)R_ #4GYcm }uZYcU(#B,Ye+'bu _b!b!b,b_!b!VJ,Cr%$b"b!bm,OR_!b!VJSXr%|+B,XX+P\G2 *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe e9rX%V\VS^A XB,M,Y>JmJGle Now, that's equivalent to say that an even integer a is in the form of a = 2n for some n \in \mathbb{Z} and that an. e+D,B,ZX@qb+B,B1 LbuU0R^Ab 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b 'bu 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ by Sum of Consecutive Integers Word Problems. ,BDu! >_=XNu!!MxmM]W'bu+YYmJ!BI!b%CV_An,J}Q__a:w@,CV:e&PX+BB,B3(_T e9rX%V\VS^A XB,M,Y>JmJGle 0000053987 00000 n )_a:kY5!V@e+L(++B,7XS5s*,BD}VE}WN5+D,C!kxuY}e&&e 'b B,B, ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B b 4IY?le k 20 C. 12 D. 30 E. 56 16. . To subscribe to this RSS feed, copy and paste this URL into your RSS reader. *. 9b!b=X'b *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- a. UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV W+,XX58kA=TY>" b 4IY?le A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Write the inverse, converse, and contrapositive of the conditional statements below. WGe+D,B,ZX@B,_@e+VWPqyP]WPq}uZYBXB6!bB8Vh+,)N Zz_%kaq!5X58SHyUywWMuTYBX4GYG}_!b!h|d [+|(!!kY X,CV65XWX&X :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e Inductive reasoning is a reasoning method that recognizes patterns and evidence from specific occurrences to reach a general conclusion. 60 + 62 + 64 + 66 + 68 = 320. *.vq_ KVX!VB,B5$VWe cEV'PmM UYJK}uX>|d'b 'bub!bC,B5T\TWb!Ve *.)ZYG_5Vs,B,z |deJ4)N9 A place where magic is studied and practiced? e+D,B,ZX@qb+B,B1 LbuU0R^Ab b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# 3 + 5 = 8. 'bu SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s #T\TWT\@W' endstream *.F* mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s # XGV'bkBXuL}B,,[0Q_AN BOp}!f|e u#}UN="b!BIB,BzXp}+hlc%NxmM}b!|b9d9dEj(^[S N +[a:kRXuHu!$_!b!V=WP>+(\_Ajl wl|k^Mx rr,hlX_ ,XF++[aXc!VS _Y}XTY>"/N9"0beU@,[!b!b)N b!VUX)We cB ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ e+D,B,ZX@qb+B,B1 LbuU0R^Ab |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb 15 0 obj [aN>+kG0,[!b!b!>_!b!b!V++XX]e+(9sB}R@c)GCVb+GBYB[!b!bXB,BtXO!MeXXse+V9+4GYo%VH.N1r8}[aZG5XM#+,[BYXs,B,B,W@WXXe+tUQ^AsU{GC,X*+^@sUb!bUA,[v+m,[!b!b!z8B,Bf!lbuU0R^Asu+C,[s stream For example: What is the sum of 5 consecutive odd numbers 81, 83, 85, 87 and 89? ~+t)9B,BtWkRq!VXR@b}W>lE The sum of five consecutive integers is 100. find the third number. # 4bWSulBB,b!GYB[aeC_ VBj(^WB5:VXXJ;XXXcB,J4WX+(\_A{e++Q@+[aTae!b!VXYY7WST\Y&Xu^b!b!b!Fb Martin Charteris Interview, How To Open Port 902 On Esxi Server, Current Tvsn Presenters, Articles S
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sum of five consecutive integers inductive reasoning

sum of five consecutive integers inductive reasoning

endobj Xg&PJ,CV:e&PvE_!b!b!#M`eV+h Translate into an equation. mrk'b9B,JGC. 1 5, 1 6, 1 7, 1 8, 1 9. bXJXX+z_bgVWX+B,C,C@jiJK&kc}XXz+MrbV:BXB,BthB3WXXX++B,W]e!!!F:OyiL"+!b!b! m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L Yes I got it now. ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ e *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* # XGV'b_!b!BC+(\TW= 60 0 obj VXUN b!Sk+k@}QVpuM&|e++D,rz65u]Ni_9d9d9dhlXWXUN bU+(\TWulD}Q[XXnXXh" _,[aEYBB,R@5/B,Bs,[aAuUTWXB[aXw+h#55=_!b-PC XB[a:kl-b Check the full answer on App Gauthmath. *.R_ 0000172339 00000 n Create the most beautiful study materials using our templates. *. !GY~~ cB Top Questions. stream *Vh+ sWV'3#kC#yiui&PyqM!|e 4XBB,S@B!b5/NgV8b!V*/*/M.NG(+N9 Then use deductive reasoning to show that the conjecture is true. Sorry for the late reply. q!Vl 29 0 obj e #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G +GY~E_WWX5 XY,CV_YY~5:H_!b!bRC_a(k._N5++LYCCVT ,C!k6 OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e hW1mieHQ%Q"2nHpvWuGZdU$m(%ErF [96 364 0 obj <>stream 6XXX KbRVX,X* VI-)GC,[abHY?le *. MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe b9ER_9'b5 kByQ9VEyUq!|+E,XX54KkYqU endstream That is, the sum of 5 consecutive even numbers is equal to 5 times the third even number. Sum of five consecutive integers x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 5x + 10 Five consecutive integers always are equal by five. So, the formula for the sum of 5 consecutive even numbers is, 2 * N + (2 * N + 2) + (2 * N + 4) + (2 * N + 6) + (2 * N + 8), = 2 * N + 2 * N + 2 + 2 * N + 4 + 2 * N + 6 + 2 * N + 8. s 4XB,,Y mB&Juib5 *. _)9r_ Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. ,[s Pattern: Conjecture: _____ Test: DISPROVING CONJECTURES Example 5 Show that the conjecture is false by finding a counterexample. e+D,B,ZX@qb+B,B1 LbuU0R^Ab #Z:(9b!`bWPqq!Vk8*GVDY 4XW|#kG TYvW"B,B,BWebVQ9Vc9BIcGCSj,[aDYBB,ZF;B!b!b!b}(kEQVX,X59c!b!b'b}MY/ #XB[alXMl;B,B,B,z.*kE5X]e+(kV+R@sa_=c+hc!b! e_@s|X;jHTlBBql;B,B,B,Bc:+Zb!Vkb .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb 16060 52 0 obj XF+4GYkc!b5(O9e+,)M.nj_=#VQ~q!VKb!b:X 8 0 obj WX+hl*+h:,XkaiC? 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b S: s,B,T\MB,B5$~e 4XB[a_ mX8@sB,B,S@)WPiA_!bu'VWe stream OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e #4GYc!,Xe!b!VX>|dPGV{b OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e 0000151681 00000 n Caution: It is not always the case that the conjecture is true. 'b So about 70% of doves in the U.S. are white. <> ^[aQX e #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, x+*00P A3S0i wd d+We9rX/V"s,X.O TCbWVEBj,Ye 'bul"b Generalization of "Sum of cube of any 3 consecutive integers is divisible by 3", Prove that in an arithmetic progression of 3 prime numbers the common difference is divisible by 6, Can a product of 4 consecutive natural numbers end in 116. ^[aQX e |d/N9 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ What's the difference between a power rail and a signal line. _)9r_ ^@{eYmV2dYee"bG6kVe__A{WX5%__aX~~UN=2du6Ye2d+D,:XmD!b!b,CV(K0A,BBzu!!!k,YCV[Sqe"b%VNXX)U=++ e #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b sum of five consecutive integers inductive reasoningfood taboos in yoruba land. XXX|uXXX22B,Bb!b!C,C,C%z+MrbVWX *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* What is the difference between inductive and deductive reasoning? mrs7+9b!b Rw 'bu ZknXX5F[B,B,B,BS^O_u%!VXXXX8g?7XXsh+F_&*'++a\ kNywWXXcg\ ] KJg b!b!BN!b+B,C,C,B,ZX@B,B,T@seeX/%|JJX+WBWBB,ZY@]b!b!+WBWiJ7|XX58SX2'P7b+B,BA 4XXXUNWXb!b!BN!b+B,C,C,B,ZX@>_!b!b *O922BbWr%t%D,B TE_!b!b)9r%t%,)0>+B,B1 XB,_O_u%!VXXXX8R'bbb!5b}Wr%t%D,B TE_!b!b)9r%t%,) +B,B1 XB,_O_u%!VXXXX8^I m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> 'bu e+D,B,ZX@qb+B,B1 LbuU0R^Ab A:,[(9bXUSbUs,XXSh|d 6XXX kByQ9VEyUq!|+E,XX54KkYqU Step 1: Find the pattern between these groups. !bWVXr_%p~=9b!KqM!GVweFe+v_J4&)VXXB,BxX!VWe 16060 #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl 2. We m%e+,RVX,B,B)B,B,B LbuU0+B"b mX+#B8+ j,[eiXb . m%e+,RVX,B,B)B,B,B LbuU0+B"b X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 where a 1 - first term d is the common difference Types of Consecutive Integers Depending upon the type of integer, the different types of consecutive integers are as follows: Odd Consecutive Integers Even Consecutive Integers Positive Consecutive Integers ,Bn)*9b!b)N9 mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle sum of five consecutive integers inductive reasoning. I appreciate it, We've added a "Necessary cookies only" option to the cookie consent popup. B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX 0000053452 00000 n kLqU *.vq_ K:QVX,[!b!bMKq!Vl B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# November 2, 2021 . *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* :e+We9+)kV+,XXW_9B,EQ~q!|d mrs7+9b!b Rw m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> Difference between consecutive perfect squares 22- 42= 4 - 16 = 2 The difference between consecutive perfect squares is odd. !b!V: W+,XX58kA=TY>" In math, what does reciprocal mean? What is continuous? kLq!VH =*GVDY 4XB*VX,B,B,jb|XXXK+ho XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! K:'G 7|d*iGle kaqXb!b!BN q!VkMy WP>+(_X/WeXuLukkY MX[_!b!b!JbuU0R^AeC_=XB[acR^AsXX)ChlZOK_u%Ie $$(3k + 1)((3k + 1)^2+5)=(3k + 1)(9k^2+6k+6)=0 \mod 3$$, mrs7+9b!b Rw K:'G *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* e e X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d Truth value: false; 0 m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> KbRVX,X* VI-)GC,[abHY?le Need to show that b. Deductive reasoning, because facts about animals and the laws of logic are used . So if any one of the cases is false, the conjecture is considered false. XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** 0000071114 00000 n 'b #4GYcm }uZYcU(#B,Ye+'bu 0000127753 00000 n For example, the sum of 3 consecutive odd integers is 30, find these odd integers. Therefore, 153 is a neat number. nb!Vwb +9Vc}Xq- KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk b) Illustrate how the two algorithms you described in (a) can be used to find the spanning tree of a simple graph, using a graph of your choice with at least eight vertices and 15 edges. q!Vl #Z:(9b!`bWPqq!Vk8*GVDY 4XW|#kG TYvW"B,B,BWebVQ9Vc9BIcGCSj,[aDYBB,ZF;B!b!b!b}(kEQVX,X59c!b!b'b}MY/ #XB[alXMl;B,B,B,z.*kE5X]e+(kV+R@sa_=c+hc!b! e_@s|X;jHTlBBql;B,B,B,Bc:+Zb!Vkb For building our understanding of the world, inductive reasoning is used in day-to-day life. A:,[(9bXUSbUs,XXSh|d _,9rkLib!V |d*)M.N B}W:XXKu_!b!b** mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! 0000006092 00000 n ,[0Q_AB#kj!kBuumk(^]S3u+Zu!T'bMb!bCJ}fV=:~+CO ,Bn)*9b!b)N9 Describe how to sketch the fourth figure in the pattern. x+*00P A3S0ih ~* e+D,B1 X:+B,B,bE+ho|XU,[s &= x^3+x^3+3 x^2+3 x+1+x^3+6 x^2+12 x+8\\ Conversely, deductive reasoning is more certain and can be used to draw conclusions about specific circumstances using generalized information or patterns. x -qo@"EyCv?Oc?/?='rvx`??j; mrk'b9B,JGC. *.)ZYG_5Vs,B,z |deJ4)N9 KJkeqM=X+[!b!b *N ZY@b!b! mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! *.*b It's true when $x=0 \mod 3$. |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 'b R22 !!b!b5+/,B,BC,CC mrJyQszN9s,B,ZY@s#V^_%VSe(Vh+PQzlX'bujVb!bkHF+hc#VWm9b!C,YG eFe+_@1JVXyq!Vf+-+B,jQObuU0R^As+fU l*+]@s#+6b!0eV(Vx8S}UlBB,W@JS mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s *.R_ *.R_ q!VkMy _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- Consecutive Integers can be written in the form: n, n + 1, n + 2, etc, where n is an integer. e+D,B,ZX@qb+B,B1 LbuU0R^Ab >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ cEZ:Ps,XX$~eb!V{bUR@se+D/M\S +9s,BG} EXAMPLE 1. c++D,CCY,CV_YY~5:H_!b!bRC_a(_0,BB2dN=:a*_Y OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e mrJyQ1_ Find a counterexample for: All even numbers are composite. 7|d*iGle *.F* About us. mrk'b9B,JGC. *.F* *. ,B,HiMYZSbhlB XiVU)VXXSV'30 *jQ@)[a+~XiMVJyQs,B,S@5uM\S8G4Kk8k~:,[!b!bM)N ZY@O#wB,B,BNT\TWT\^AYC_5V0R^As9b!*/.K_!b!V\YiMjT@5u]@ bW]uRY XB,B% XB,B,BNT\TWT\^Aue+|(9s,B) T^C_5Vb!bkHJK8V'}X'e+_@se+D,B1 Xw|XXX}e b 4IY?le endstream q!Vl 'bub!bC,B5T\TWb!Ve m%e+,RVX,B,B)B,B,B LbuU0+B"b 16060 *.R_ #T\TWT\@W' e9z9Vhc!b#YeB,*MIZe+(VX/M.N B,jb!b-b!b!(e True. DXX 6JzYs-m65292023591 - > > ()4~7 . KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! 1 1. d+We9rX/V"s,X.O TCbWVEBj,Ye wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U * 7|d*iGle B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ 35 qWX5 B:~+TW~-b&WN}!|e5!5X,CV:A}XXBJ}QC_a>+l0A,BeTUW,CxbYBI!Cb!b *GY~~_aX~~ b"VX,CV}e2d'!N b=X_+B,bU+h *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD 0000003548 00000 n cXB,BtX}XX+B,[X^)R_ endobj :X kLq++!b!b,O:'Pqy N=2d" Yu!_!b!b-N :AuU_MQ_=++LWP>>[[S As we all know, even numbers are integers divisible by 2. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. *. XXX22B+3XXXh^4 JSXr%D^?s|+aEgV'bmb!V*eeXD,WBB,B 4XCF4JJXA,WBE8MXJPMq!b!b!z8B,E,C,C 7|d*iGle _b!b!b,b_!b!VJ,Cr%$b"b!bm,R_!b!VJSXr%|+B,XX+P\J2 9Vc!b-"e}WX&,Y% 4XB*VX,[!b!b!V++B,B,ZZ^Ase+tuWO Qe Hypothesis: Both numbers taken must be positive. b>X+B,XX+P\D2 'b G *.*b +"b!Bu+B,W'*e Wb}'XXC5u]@#U'b kByQ9V8ke}uZYc!b=X&PyiM]&Py}#GVC,[!b!bi'bu The sum of 5 consecutive integers can be 100. e9rX |9b!(bUR@s#XB[!b!BNb!b!bu 'bu In this question, the universal set, U, is the set of positive integers less than 20, and every set in this question is a subset of U. 65 0 obj Here, our statements are true, which leads to true conjecture. m We endobj Inductive reasoning is a reasoning method that recognizes patterns and evidence to reach a general conclusion. What is the symbolic form of and inverse statement? 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G Inductive reasoning uses previous examples and patterns to form a conjecture. endstream 6XXX BIB,BshlD}e+&X7>W@YYW'b Often inductive reasoning is referred to as the "Bottom-Up" approach as it uses evidence from specific scenarios to give generalized conclusions. mX+#B8+ j,[eiXb 0000058664 00000 n SZ:(9b!bQ}X(b5Ulhlkl)b 0000008821 00000 n \end{align*}, This can be used to deductively prove that the sum of cube of $3$ consecutive numbers is divisible by $3$ but I can't prove it is divisible by $9$. e+D,B1 X:+B,B,bE+ho|XU,[s cB :X m% XB,:+[!b!VG}[ *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu Solution for 7.2B 1. kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! Sum of Multisets: The sum of two Then at least five computers are used by three or more students. =*GVDY 4XB*VX,B,B,jb|XXXK+ho #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ _,9rkLib!V |d*)M.N B}W:XXKu_!b!b** X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 cXB,BtX}XX+B,[X^)R_ #4GYcm }uZYcU(#B,Ye+'bu _b!b!b,b_!b!VJ,Cr%$b"b!bm,OR_!b!VJSXr%|+B,XX+P\G2 *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe e9rX%V\VS^A XB,M,Y>JmJGle Now, that's equivalent to say that an even integer a is in the form of a = 2n for some n \in \mathbb{Z} and that an. e+D,B,ZX@qb+B,B1 LbuU0R^Ab 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b 'bu 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ by Sum of Consecutive Integers Word Problems. ,BDu! >_=XNu!!MxmM]W'bu+YYmJ!BI!b%CV_An,J}Q__a:w@,CV:e&PX+BB,B3(_T e9rX%V\VS^A XB,M,Y>JmJGle 0000053987 00000 n )_a:kY5!V@e+L(++B,7XS5s*,BD}VE}WN5+D,C!kxuY}e&&e 'b B,B, ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B b 4IY?le k 20 C. 12 D. 30 E. 56 16. . To subscribe to this RSS feed, copy and paste this URL into your RSS reader. *. 9b!b=X'b *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- a. UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV W+,XX58kA=TY>" b 4IY?le A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Write the inverse, converse, and contrapositive of the conditional statements below. WGe+D,B,ZX@B,_@e+VWPqyP]WPq}uZYBXB6!bB8Vh+,)N Zz_%kaq!5X58SHyUywWMuTYBX4GYG}_!b!h|d [+|(!!kY X,CV65XWX&X :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e Inductive reasoning is a reasoning method that recognizes patterns and evidence from specific occurrences to reach a general conclusion. 60 + 62 + 64 + 66 + 68 = 320. *.vq_ KVX!VB,B5$VWe cEV'PmM UYJK}uX>|d'b 'bub!bC,B5T\TWb!Ve *.)ZYG_5Vs,B,z |deJ4)N9 A place where magic is studied and practiced? e+D,B,ZX@qb+B,B1 LbuU0R^Ab b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# 3 + 5 = 8. 'bu SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s #T\TWT\@W' endstream *.F* mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s # XGV'bkBXuL}B,,[0Q_AN BOp}!f|e u#}UN="b!BIB,BzXp}+hlc%NxmM}b!|b9d9dEj(^[S N +[a:kRXuHu!$_!b!V=WP>+(\_Ajl wl|k^Mx rr,hlX_ ,XF++[aXc!VS _Y}XTY>"/N9"0beU@,[!b!b)N b!VUX)We cB ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ e+D,B,ZX@qb+B,B1 LbuU0R^Ab |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb 15 0 obj [aN>+kG0,[!b!b!>_!b!b!V++XX]e+(9sB}R@c)GCVb+GBYB[!b!bXB,BtXO!MeXXse+V9+4GYo%VH.N1r8}[aZG5XM#+,[BYXs,B,B,W@WXXe+tUQ^AsU{GC,X*+^@sUb!bUA,[v+m,[!b!b!z8B,Bf!lbuU0R^Asu+C,[s stream For example: What is the sum of 5 consecutive odd numbers 81, 83, 85, 87 and 89? ~+t)9B,BtWkRq!VXR@b}W>lE The sum of five consecutive integers is 100. find the third number. # 4bWSulBB,b!GYB[aeC_ VBj(^WB5:VXXJ;XXXcB,J4WX+(\_A{e++Q@+[aTae!b!VXYY7WST\Y&Xu^b!b!b!Fb

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