sum of five consecutive integers inductive reasoning

>+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ K:QVX,[!b!bMKq!Vl ~+t)9B,BtWkRq!VXR@b}W>lE XF+4GYkc!b5(O9e+,)M.nj_=#VQ~q!VKb!b:X 7O?o *,BD}!|e2dY5 X~Xb!b k 'bul"b |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s Sum of Multisets: The sum of two Then at least five computers are used by three or more students. +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU Then use deductive reasoning to show that the conjecture is true. *.*b <> bbb!b!VHJXX:B,SXr%D,L4g\ WXXX+:UNk:*eeX5Xi5%+!b!b!C,C/+-"BI,WBW #4GYcm }uZYcU(#B,Ye+'bu q!VkMy 0000075024 00000 n 'bk|XWPqyP]WPq}XjHF+kb}X T^ZSJKszC,[kLq! endobj Answer (1 of 4): let x-2,x-1,x,x+1,x+2 are 5 consecutive integers sum is -5 soo =>x-2+x-1+x+x+1+x+1 =-5 =>5x=-5 => x=-1 x-2 = -3 x-1 = -2 x+1 = 0 x+2 = 1 therefore numbers are In this tutorial, you learned how to sum a series of consecutive integers with a simple and easy to remember equation. <> +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: W'3ezWuB,C!B&XXT'P>+(:X, #BYB[a+o_@5u]@XB,Bt%VWXX)[aDYXi^}/ Given an integer n, the task is to find whether n can be expressed as sum of five consecutive integer. p}P]WPAuUOQ_ To find the true conjecture from provided information, we first should learn how to make a conjecture. mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe SZ:(9b!bQ}X(b5Ulhlkl)b Everyone is welcome to use. WX+hl*+h:,XkaiC? UyA Example: 7 doves out of 10 I have seen are white. endstream I appreciate it, We've added a "Necessary cookies only" option to the cookie consent popup. 4GYc}Wl*9b!U mrk'b9B,JGC. ?+B,XyQ9Vk::,XHJKsz|d*)N9"b!N'bu Consecutive integers means that these numbers are all integers, and they are next to each other, there are no other integers between them. mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, 0000069875 00000 n _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L *.R_ !*beXXMBl _)9r_ 0000161836 00000 n Inductive reasoning is often used to predict future outcomes. <> *.N jb!VobUv_!V4&)Vh+P*)B,B!b! KJkeqM=X+[!b!b *N ZY@b!b! #rk [a^A 4Xk|do+V@#VQVX!VWBB|X6++B,X]e+(kV+r_ Let us understand it by taking an example. Here, N represents an integer. PDF 1.2 Inductive Reasoning - Murrieta Valley Unified School District Conjecture The sum of any three consecutive integers is three times the second number. b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# 1 1. +C,C!++C!&!N b|XXXw+h k~u!AuU_Ajj,*VX=N :>6'b9d9dEj(^[S n+Vzu!|J m% XB,:+[!b!VG}[ endobj 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: The sum of five consecutive integers is 100. find the third number. kLq!V _,9rkLib!V |d*)M.N B}W:XXKu_!b!b** 0. ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ K:QVX,[!b!bMKq!Vl SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G 0000073148 00000 n Show all of your work. <> ,[s *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe B,B,R@B,B,BI 9b!b=X'b X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d k^q=X Xg&PJ,CV:e&PvE_!b!b!#M`eV+h U'bY@uduS-b!b p}P]WPAuU_A/GYoc!bS@r+rr^@Mxu![ XB,BCS_Ap}:%VK=#5ufmM=WYb9d Proof that the sum of the cubes of any three consecutive positive integers is divisible by three. 65 0 obj KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb >> mrs7+9b!b Rw :X q!Vl |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb Write 1245 as the sum of ve consecutive integers. XXX22B,E}JJB,O4JJXA,WBBjb}WXX) kLqU The five consecutive integers are 15,16,17,18,19 Explanation: To identify five consecutive integers we begin by giving them each a variable expression 1st = x 2nd = x + 1 3rd = x + 2 4th = x + 3 5th = x + 4 Now we set these equal to a sum of 85 x + x + 1 + x + 2 +x +3 +x +4 = 85 5x +10 = 85 5x+10 10 = 85 10 5x = 75 5x 5 = 75 5 x = 15 Then sketch Let us consider two integer numbers say -2 and -3. KbRVX,X* VI-)GC,[abHY?le mrJyQ1_ 0000136972 00000 n *Vs,XX$~e T^ZSb,YhlXU+[!b!BN!b!VWX8F)V9VEy!V+S@5zWX#~q!VXU+[aXBB,B X|XX{,[a~+t)9B,B?>+BGkC,[8l)b #BYB[a+o_@5u]@XB,Bt%VWXX)[aDYXi^}/ Sum of Five Consecutive Integers Video. In math, what does reciprocal mean? moIZXXVb5'*VQ9VW_^^AAuU^A 4XoB 4IY>l RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* Use inductive reasoning to make a conjecture about the given | Quizlet cE+n+-: s,B,T@5u]K_!u8Vh+DJPYBB,B6!b=XiM!b!,[%9VcR@&&PyiM]_!b=X>2 4XB[!bm wJ 49 0 obj *.N jb!VobUv_!V4&)Vh+P*)B,B!b! ,XF++[aXc!VS _Y}XTY>"/N9"0beU@,[!b!b)N b!VUX)We 'bub!bC,B5T\TWb!Ve . mrftWk|d/N9 Write the inverse, converse, and contrapositive of the conditional statements below. Inductive reasoning is considered to be predictive rather than certain. +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe +++Wp}P]WP:YmbY _e 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ $$x(x^2+5)=0 \mod 3$$ =k4^`e!b=X+N=rFj(L_M% Therefore, 153 is a neat number. 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 The sum of the smallest and the . Sum of five consecutive integers x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 5x + 10 Five consecutive integers always are equal by five. m% XB,:+[!b!VG}[ moIZXXVb5'*VQ9VW_^^AAuU^A 4XoB 4IY>l >> nb!Vwb XF+4GYkc!b5(O9e+,)M.nj_=#VQ~q!VKb!b:X C,C,C,B1 X3}uXX5b}[?s|JJXR?8=B,B,B>S^R)/z+!b!D Describe how to create and solve. #BYB[a+o_@5u]@XB,Bt%VWXX)[aDYXi^}/ I need to deductively prove that the sum of cubes of $3$ consecutive natural numbers is divisible by $9$. #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ [as4l*9b!rb!s,B4|d*)N9+M&Y#e+"b)N TXi,!b '(e GV^Y?le Proof: x = 3 k x 0 ( mod 3) 31 0 obj ,BDu! oN=2d" B_!b!b!#M`eV+h =W~GWXQ_!bYkh~SY!kYe"b!Fb}WuDXe+L #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl So, doves and geese are both of the same species. kLq!V #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b UyA ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ m b :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e I. Download Free PDF Download PDF Download Free PDF View PDF. 6XXX If the conjecture is FALSE, give a counter example. *.N jb!VobUv_!V4&)Vh+P*)B,B!b! mX+#B8+ j,[eiXb stream endobj UyA ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ ?l +++L'bi&WV@fj*Y2d^@{WXU&O~OXX[hY~ 0000003418 00000 n 'bul"b kLqU Is a PhD visitor considered as a visiting scholar? 3 + 5 = 8. 60 0 obj These start with one specific observation, add a general pattern, and end with a conclusion. :e+We9+)kV+,XXW_9B,EQ~q!|d mrk'b9B,JGC. ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B Here are some examples of inductive reasoning that show how a conjecture is formed. mrs7+9b!b Rw KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! =*GVDY 4XB*VX,B,B,jb|XXXK+ho 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: Now we just have to prove $3|x$ or $3|x^2+2$. endobj m%e+,RVX,B,B)B,B,B LbuU0+B"b e+D,B,ZX@qb+B,B1 LbuU0R^Ab <> mrftWk|d/N9 b"b=XQ_!b!b!b}pV'bujB*eeXXM|uXXXhZB%JSXr%D,J4KXg\ WJ|eXX8S6bu !!VK4 |d/N9 cEV'PmM UYJK}uX>|d'b #Z: endobj K:'G 9Vc!b-"e}WX&,Y% 4XB*VX,[!b!b!V++B,B,ZZ^Ase+tuWO Qe The sum of 5 consecutive integers can be 100. #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab b %PDF-1.7 % endstream We ~+t)9B,BtWkRq!VXR@b}W>lE For another example, the sum of 5 consecutive odd integers is 135. vaishnavikalesh4774 vaishnavikalesh4774 10.05.2019 Let five numbers be k, k + 1, k + 2, k + 3 and k + 4. The difference between an even integer and an odd integer is odd. YES! Here, the product of both the numbers is 10, which is positive. >> _b!b!B6B,BM 4XXXXr%V'PqyM+B,S?s|JJXR?WX8SXKSz_bbU'bb!bm*O922B,*+aWXb!+WBWAVB,B= XB,_RWXX58kSy!!!b=Xr%V'PqyM+B,S?s|JJXR?WX8SXKSz_bbU'bb!bm*O922Br%V'PqyM+B,S?s|JJXR?WX8SXKSz_bbU'bb!bm*O922BG++W\ ] keyB,B=3W%X|XX{:Xu4!!VkPq!V_!b!C,C,C,ZKXX5b!+WBWAVB,B= XB,_RWXX58L4kqy!!!b"VZSr%t% +!b!b)O:WXJ,N)B,+OyqM}XXbbb!b!z~+B,BC,C,C,OI,WBW kByQ9VEyUq!|+E,XX54KkYqU 34 Sequence Pattern, Mouli Javia - StudySmarter Originals. KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! 34 _)9r_ mX8@sB,B,S@)WPiA_!bu'VWe Also, to prove the newly formed conjecture true in all similar circumstances, we need to test it for other similar evidence. [+|(>R[S3}e2dN=2d" XGvW'bM 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 vOy=}XXbbb!b!J Answer (1 of 7): What you wrote is false. 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: e+D,B,ZX@qb+B,B1 LbuU0R^Ab MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe There are 10 consecutive nonzero positive integers. Therefore, the sum of 5 consecutive integers can be expressed by the formula: N + (N + 1) + (N + 2) + (N + 3) + (N + 4). &= x^3+x^3+3 x^2+3 x+1+x^3+6 x^2+12 x+8\\ b 4IY?le |d/N9 'bub!bC,B5T\TWb!Ve e9rX%V\VS^A XB,M,Y>JmJGle Determine whether the argument is an example of inductive reasoning (IR) or deductive reasoning (DR). >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ q!VkMy mrs7+9b!b Rw 0000056879 00000 n 6XXX *. Set individual study goals and earn points reaching them. #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl ~+t)9B,BtWkRq!VXR@b}W>lE *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! ^[aQX e kaqXb!b!BN k~u!B,[v_!bm= mrs7+9b!b Rw vOy=}XXbbb!b!H Andy and Belen made stars at the same time, making a total of 160 stars in 8 minutes. w endobj #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ |d/N9 |d/N9 ~iJ[+C,C * e9rX |9b!(bUR@s#XB[!b!BNb!b!bu Example: Prove the sum of two odd numbers is an even number. For example: What is the sum of 5 consecutive integers 15, 16, 17, 18 and 19? VX>+kG0oGV4KhlXX{WXX)M|XUV@ce+tUA,XXY_}yyUq!b!Vz~d5Um#+S@e+"b!V>o_@QXVb!be+V9s,+Q5XM#+[9_=X>2 4IYB[a+o_@QXB,B,,[s A number is 20 less than its square. mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab Top Questions 2 - PlainMath mrJyQszN9s,B,ZY@s#V^_%VSe(Vh+PQzlX'bujVb!bkHF+hc#VWm9b!C,YG eFe+_@1JVXyq!Vf+-+B,jQObuU0R^As+fU l*+]@s#+6b!0eV(Vx8S}UlBB,W@JS endstream d+We9rX/V"s,X.O TCbWVEBj,Ye kMuRVp7Vh+)Vh+L'b : >_!b9dzu!VXqb}WB[!b!BI!b5We 0000053807 00000 n Sum of Five Consecutive Integers Calculator. e Hence, it is an even number, as it is a multiple of 2 and m+n is an integer. [+|(>R[S3}e2dN=2d" XGvW'bM 48 0 obj cEV'PmM UYJK}uX>|d'b *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD *Vs,XX$~e T^ZSb,YhlXU+[!b!BN!b!VWX8F)V9VEy!V+S@5zWX#~q!VXU+[aXBB,B X|XX{,[a~+t)9B,B?>+BGkC,[8l)b X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U ^[aQX e *. #T\TWT\@2z(>RZS>vuiW>je+'b,N Z_!b!B Lb #4GYcm }uZYcU(#B,Ye+'bu *.F* 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ I will be cubing, expanding and simplifying them *.R_ We solved the question! stream 0000002705 00000 n 'bul"b 3W%X+^@)B)u.nj_bbU'bB,Bty!!!b!}Xb"b!*.SyD 34 m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L The meaning of the questions: given n, n can be written in the form of at least two consecutive positive integers and the number of species. b 4IY?le s 4Xc!b!F*b!TY>" <> mrs7+9b!b Rw 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: 8Vh+,)MBVXX;V'PCbVJyUyWPq}e+We9B,B1 T9_!b!VX>l% T^ZS X! _ m%e+,RVX,B,B)B,B,B LbuU0+B"b 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L #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 |d/N9 'b,N Z=_=Xy!!!b!BbmwyN $}Xq++aIi B]byiK4#_!b!VB X+'+O922B,S@{B !b.O:'Pqyb!V)/MsiOyiJK+B,j^@8ke|b 4XXXXcVvW!B T\^S*.O:'uW_bm-N ZE_!OyiJKKS\?'|XXcV'b|X)O922B,S@B !b.O:'Pqy*9r%t%,)Z@ S"b!b A)9:(OR_ !MU'b m%e+,RVX,B,B)B,B,B LbuU0+B"b #4GYcm }uZYcU(#B,Ye+'bu WGe+D,B,ZX@B,_@e+VWPqyP]WPq}uZYBXB6!bB8Vh+,)N Zz_%kaq!5X58SHyUywWMuTYBX4GYG}_!b!h|d which marvel character matches your personality. *Vh+ sWV'3#kC#yiui&PyqM!|e 4XBB,S@B!b5/NgV8b!V*/*/M.NG(+N9 [5_bn~3;D+dlL._L>; ,S=& endstream endobj 365 0 obj <>stream 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b 16060 [aN>+kG0,[!b!b!>_!b!b!V++XX]e+(9sB}R@c)GCVb+GBYB[!b!bXB,BtXO!MeXXse+V9+4GYo%VH.N1r8}[aZG5XM#+,[BYXs,B,B,W@WXXe+tUQ^AsU{GC,X*+^@sUb!bUA,[v+m,[!b!b!z8B,Bf!lbuU0R^Asu+C,[s *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- mrk'b9B,JGC. 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b ,B,HmM9d} b9duhlHu!"BI!b!1+B,X}QVp}P]U' bVeXXOTV@z!>_UCCC,[!b!bV_!b!b!bN|}P]WP}X(VX=N :}5X*rr&Pk(}^@5)B,:[}XXXSe+|AuU_AnPb,[0Q_A{;b!1z!|XC,,[a65pb}*VXQb!b!B#WXXie |d/N9 0000003548 00000 n #AU+JVh+ sW+hc!b52 4XB[aIqVUGVJYB[alX5}XX B,B%r_!bMPVXQ^AsWRrX.O9e+,i|djO,[8S bWX B,B+WX"VWe cEV'bUce9B,B'*+M.M*GV8VXXch>+B,B,S@$p~}X ++cR@&B_!b'~e 4XB[aIq!+[HYXXS&B,Bxq!Vl endstream _b!b!b,b_!b!VJ,Cr%$b"b!bm,R_!b!VJSXr%|+B,XX+P\J2 *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- +DHu!!kU!@Y,CVBY~Xg+B,XGY~#~mYO,B =++DceZ+C!k~u!!MxuM!nb!BI!VAuU_AE,w+h s 4XB,,Y 64 0 obj *. 16060 In addition to calculating the sum of 5 consecutive integers, you may also need to calculate the sum of 5 consecutive even numbers, or the sum of 5 consecutive odd numbers. Example: I have always seen doves during winter; so, I will probably see doves this winter. e+D,B1 X:+B,B,bE+ho|XU,[s *.R_ b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G Using the formula to calculate, the third even integer is 64, so its 5 times is 5 * 64 = 320, the answer is correct. *. [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 s 4XB,,Y |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 4&)kG0,[ T^ZS XX-C,B%B,B,BN endobj ,XF++[aXc!VS _Y}XTY>"/N9"0beU@,[!b!b)N b!VUX)We MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe