W+,XX58kA=TY>" _WX B,B,@,C,C Conjecture: The sum of three consecutive numbers is equal to three times the middle number of the given sum. <> This type of reasoning forms a causal connection between evidence and hypothesis. 'bub!bC,B5T\TWb!Ve *. stream k^q=X N }XXub +9s,BG} m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> KVX!VB,B5$VWe WP,[a(w,Bsj(L_!b}:!!+R@N Kj*TT'bY@B,B:*VXp}P]WPM`e e9rX |9b!(bUR@s#XB[!b!BNb!b!bu sum of five consecutive integers inductive reasoningsouthern pronunciation of ambulance sum of five consecutive integers inductive reasoning Menu noticias locales de san antonio, texas. 4&)kG0,[ T^ZS XX-C,B%B,B,BN cXB,BtX}XX+B,[X^)R_ Sum of N consecutive integers calculator start with first integer A. Conjecture: The product of two positive numbers is always greater than either number. p}P]WP:IGYo 2dY!B&XXWP>+(:X~~ bS_AN :X>'e2dk(^[SWb}WPV@5)B,:AuU_An++L 16060 Set individual study goals and earn points reaching them. OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e 9b!b=X'b *.N jb!VobUv_!V4&)Vh+P*)B,B!b! *.*b kLqU k~u!AuU_Abe+|(Vh+LT'b6'b9d9dEj(^[S x_9de+|:kRXuH !V2 mB&Juib5 *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- From the above, we can observe that the answer of all the sums is always an even number. + O buj(^[SYguuP]UC XB[!b!Bzb!bC,z mT\TW XuW+R@&BzGV@GVQq!VXR@8F~}VYiM+kJq!k*V)*jMV(G ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ N=2d" Yu!>+BB,ZT@uh}2dY_A{WWp}P]U'b} Y cEZ:Ps,XX$~eb!V{bUR@se+D/M\S WX+hl*+h:,XkaiC? SR^AsT'b&PyiM]'uWl:XXK;WX:X |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s stream cE+n+-: s,B,T@5u]K_!u8Vh+DJPYBB,B6!b=XiM!b!,[%9VcR@&&PyiM]_!b=X>2 4XB[!bm wJ UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B Let us understand it by taking an example. *.vq_ U}/E}e+|(V;V: 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 Describe how to sketch the fourth figure in the pattern. *.)ZYG_5Vs,B,z |deJ4)N9 *. Create and find flashcards in record time. *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe S: s,B,T\MB,B5$~e 4XB[a_ #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl cXB,BtX}XX+B,[X^)R_ Generally, we subconsciously make decisions based on our past observations and experiences. 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Try It! 1. 'b |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s kLqn_"b!*.Sy'Pq}XUR?s|JJXR?8kaiKJ,C,BxX8Rh'PX++!b!b,O:'PqywWX%3W%X[kaiKJ,C,BxX8^I *./)z*V8&_})O jbeJ&PyiM]&Py|#XB[!b!Bb!b *N ZY@AuU^Abu'VWe 8Vh+,)MBVXX;V'PCbVJyUyWPq}e+We9B,B1 T9_!b!VX>l% T^ZS X! _ Consider 2 and 5. GV^Y?le *.vq_ This also has the advantage of working with various options to make a conjecture true. 7. +C,,Hmkk6 X}_ Therefore, 153 is a neat number. Inductive reasoning is considered to be predictive rather than certain. In inductive reasoning, we reason to a general conclusion via the observations of specific cases. mrftWk|d/N9 *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. <> _!!b&!0A,w+hn_VWX,CC({|e:,CVEY~Xu*~WuDXe+L mB&Juib5 There are five exercises in NCERT Solutions for Class 11 Maths Chapter 14 with in-depth about Mathematics Inductions and Deductive Reasoning. B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G kByQ9V8ke}uZYc!b=X&PyiM]&Py}#GVC,[!b!bi'bu OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e The sum of 5 consecutive positive integers = A. +9Vc}Xq- k #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, ?l ~WXUYc9(O j1_9rU,B,58[!_=X'#VX,[tWBB,BV!b=X uWX'VXA,XWe%q_=c+tQs,B58kVX+#+,[BYXUXWXXe+tUQ^AsWBXerkLq! As far as I can see. l|X *.vq_ w 47 0 obj <> 'Db}WXX8kiyWX"Qe So, doves and geese are both of the same species. s 4XB,,Y =*GVDY 4XB*VX,B,B,jb|XXXK+ho To subscribe to this RSS feed, copy and paste this URL into your RSS reader. KVX!VB,B5$VWe mB&Juib5 kLqX_++!b!b,O:'PqywWX%3W%X[+B,B,ZX?)u.)+b!b-)Non Translate into an equation. b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B :e+We9+)kV+,XXW_9B,EQ~q!|d #AU+JVh+ sW+hc!b52 4XB[aIqVUGVJYB[alX5}XX B,B%r_!bMPVXQ^AsWRrX.O9e+,i|djO,[8S bWX B,B+WX"VWe b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> |d/N9 [as4l*9b!rb!s,B4|d*)N9+M&Y#e+"b)N TXi,!b '(e 2eYN5+D,jeT' *C $Pe+k 'bul"b which shows that n is sum of ve consecutive integers. We&+(\]SufmMe[}5X+N=2d" W'b_!b!B,CjY}+h Then use deductive reasoning to show that the conjecture is true. 7WWX=++LT'bY@fj*YC,C!+R@N C_#;5UY~ 'b *. UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV ?l *.)ZYG_5Vs,B,z |deJ4)N9 XA 2, 2 XB} 1 2}, 2 XC 3, 10 XD 2, 21 23. 6XXX Here are some examples of inductive reasoning that show how a conjecture is formed. LwwvX,WyS18g]Qt'zi``{Xfo7=H8SS 0my*e| mrJyQ1_ <> b"bygXXXW XXXUbYK&kcyXqV!k6*'++a\ Let the first number be n #n+(n+1)=5# simplified to #2n=4# divide by 2 gives #n=2 and (n+1)=3# Answer link . GYoc!CfUXc!bh" F!E,[N')B,::IV+(\TW_U]SYb mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe Prove that the difference between an even integer and an odd integer is even. 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b <> June 7, 2022 . A number is a neat number if the sum of the cubes of its digit equals the number. A question of NUMBER THEORY and divisibility of 7. _*N9"b!B)+B,BA T_TWT\^AAuULB+ho" X+_9B,,YKK4kj4>+Y/'b What is the symbolic form of and inverse statement? "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu *.F* #rk [a^A 4Xk|do+V@#VQVX!VWBB|X6++B,X]e+(kV+r_ SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G cEZ:Ps,XX$~eb!V{bUR@se+D/M\S VX>+kG0oGV4KhlXX{WXX)M|XUV@ce+tUA,XXY_}yyUq!b!Vz~d5Um#+S@e+"b!V>o_@QXVb!be+V9s,+Q5XM#+[9_=X>2 4IYB[a+o_@QXB,B,,[s mrJyQ1_ :X k ~+t)9B,BtWkRq!VXR@b}W>lE >> MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe 3W22B,BN!b!_!bXXXXS|JJkB,O4JJXA,WBBS(9p%|SXWXE22 !!b!_vB,B,*.O9+MrbV++B,B,bg^ #22B,BN!b!_!bXXXXS|JJk++BJSXr%D, *. |d/N9 cXB,BtX}XX+B,[X^)R_ [GYXr:+Zu!VN ::kb!bS_AjU_A{e+&+(\TW XikBuCYmkkrU'b ~iJ;WXX2B,BA X}+B,J'bbb!bUSbFJXXsNAub!b)9r%t%,)j? We will guide you on how to place your essay help, proofreading and editing your draft fixing the grammar, spelling, or formatting of your paper easily and cheaply. #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* +D:_Yu!!+K6Y+e2dM+v%B9!nbMU!p}Q_aDYm)WW _!b'hY)2dYYmMXXb!k7*kWP(6eu4X~~ b"xb:u4,C!uT\YX5Xm!b!b(p}Q_\b&WXuC,CteYcB,B9jC!b=XS5s+(\_A{W mT\TW XuW+R@&BzGV@GVQq!VXR@8F~}VYiM+kJq!k*V)*jMV(G endobj #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ +R@Y/eZ,C X,BBBI*f,BD}Q_!bEj(^[S!C2d(zu!!++B,::kRJ}+l)0Q_A{WX Y!@YhY~Xi_!b!9 X2dU+(\TW_aKY~~ e Consecutive Integers can be written in the form: n, n + 1, n + 2, etc, where n is an integer. S 4&)kG0,[ T^ZS XX-C,B%B,B,BN Save my name, email, and website in this browser for the next time I comment. ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ wV= mB&Juib5 OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* <> 'bub!bCHyUyWPqyP]WTyQs,XXSuWX4Kk4V+N9"b!BNB,BxXAuU^AT\TWb+ho" X+GVc!bIJK4k8|#+V@se+D,B1 X|XXB,[+U^Ase+tUQ^A5X+krXXJK4Kk+N9 <> 6++[!b!VGlA_!b!Vl 'bu 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. We cEV'bUce9B,B'*+M.M*GV8VXXch>+B,B,S@$p~}X mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle x mq]wEuIID\\EwL|4A|^qf9r__/Or?S??QwB,KJK4Kk8F4~8*Wb!b!b+nAB,Bxq! m% XB,:+[!b!VG}[ ?+B,XyQ9Vk::,XHJKsz|d*)N9"b!N'bu e9rX |9b!(bUR@s#XB[!b!BNb!b!bu mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! s 4XB,,Y e+|(9s,BrXG*/_jYiM+Vx8SXb!b)N b!VEyP]7VJyQs,X X}|uXc!VS _YiuqY]-*GVDY 4XBB,*kUq!VBV#B,BM4GYBX #AU+JVh+ sW+hc!b52 4XB[aIqVUGVJYB[alX5}XX B,B%r_!bMPVXQ^AsWRrX.O9e+,i|djO,[8S bWX B,B+WX"VWe KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! ~WXUYc9(O j1_9rU,B,58[!_=X'#VX,[tWBB,BV!b=X uWX'VXA,XWe%q_=c+tQs,B58kVX+#+,[BYXUXWXXe+tUQ^AsWBXerkLq! endobj Everyone is welcome to use. ~+t)9B,BtWkRq!VXR@b}W>lE Let x, x+2, x+4 and x+6 be the four consecutive odd integers. e9rX%V\VS^A XB,M,Y>JmJGle mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle \text{Then their sum is $5n = 105$. 4GYc}Wl*9b!U #Z: XGV'P|;b!VXYYumh^C0U@5)B,::&e_!b!b! q++aIi p*b!VBN!b/MsiS"2B,BA X+WXh_"b!*.SyT_bm-R_!b/N b!:OyqDU++C,B,T@}XkLqJ++!b!b,O:'PqyM 0000107763 00000 n 6;}X5:kRUp}P]WP>+l &Pk(^@ud|Vu!BC+B2lWP>+(\_ANe+(\_A{;b!1rZ_[S=d&P:!VMxuM!5X+Zb!B#(_TWF_! $Te +9s,BG} C++L22d"2dYmbYBI!VWXXuh}Q__++0A,Bee2de2dE&X_!b!b!GY~~0D,B Given a number N, write a function to express N as sum of two or more consecutive positive numbers. mB&Juib5 +|AuU_Az&Y Inductive reasoning is considered to be predictive rather than certain. *. *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* :X >> *. 21 0 obj stream endstream cXB,BtX}XX+B,[X^)R_ 4&)kG0,[ T^ZS XX-C,B%B,B,BN C,C,C,B1 (bMb"b!*.Sy'PqyVWX_bm-N[_!b!b!V)/MsiOyqY}XXXkIq=X?b!7 4XXXXch=&\ kNyB,kkqm&[B,B,B>S^R)/z+!b!J ^[aQX e endobj # XGV'b_!b!BC+(\TW= :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e Notice that the sum of the five . log(x+2)log(x1)=log(x+2)log(x1)\frac { \log ( x + 2 ) } { \log ( x - 1 ) } = \log ( x + 2 ) - \log ( x - 1 ) mrk'b9B,JGC. n = number of integers. >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ Hence, the conjecture is false. xKqwERy;%s9&cgsd_?_/abog '_G ??J;JSX|Xi BA5WX/:OyiG8sq!BM5WXX2B,'b,9B,BxyN b+WBWA X+j+^?)u.)/Msib!B X+'bbb!b)N Z_!b!*.Sy'PqyMh1^pq++aIi Bb!b):Oyi+%B,X@8ke|C,C,C,B1 X++B,S@5u*O*.Sy-#VH_*9r%t%,)Z@2B,B1S^R)/:*bXXV'b>R@seeX58ke|XXsN T\@5u*OJZq++aIi Bb!b):Oyi+"B,T@8ke|C,C,C,B1 X++B,S@5u*O*.Sy %VB%3W%X[VWX5KS\?S^RI8kkq!BGh'bkNyN 4Xi_bm-N ZE_8kwiK43XOb!bV'b@kLq! Have all your study materials in one place. ?+B,XyQ9Vk::,XHJKsz|d*)N9"b!N'bu kByQ9V8ke}uZYc!b=X&PyiM]&Py}#GVC,[!b!bi'bu SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G How to Sum Integers 1 to n. You dont need to be a math whiz to be a good programmer, but there are a handful of equations you will want to add to your problem solving toolbox. e+D,B,ZX@qb+B,B1 LbuU0R^Ab This decision is an example of inductive reasoning. ,[s ,Bn)*9b!b)N9 q!VkMy S x+*00P A3S0i w 0000005175 00000 n 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 GV^Y?le [as4l*9b!rb!s,B4|d*)N9+M&Y#e+"b)N TXi,!b '(e +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU 60 0 obj sum of five consecutive integers inductive reasoning gemini and scorpio parents gabi wilson net worth 2021 . s 4XB,,Y .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ [++LWe!!+R@zoeZ,C X~X+B,::I9dp}P]5Ww0A,w+hMxmM!*CVX,CV:@bAXXV'35UY3fNb&WN}Qb" ~Yse2dEh S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu _*N9"b!B)+B,BA T_TWT\^AAuULB+ho" X+_9B,,YKK4kj4>+Y/'b mrk'b9B,JGC. b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! 'b WX+hl*+h:,XkaiC? <> 8Vh+,)MBVXX;V'PCbVJyUyWPq}e+We9B,B1 T9_!b!VX>l% T^ZS X! _ XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** e #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, moIZXXVb5'*VQ9VW_^^AAuU^A 4XoB 4IY>l [as4l*9b!rb!s,B4|d*)N9+M&Y#e+"b)N TXi,!b '(e Divisibility of consecutive natural numbers. If a law is new but its interpretation is vague, can the courts directly ask the drafters the intent and official interpretation of their law? m% XB,:+[!b!VG}[ vOy=}XXbbb!b!H VX>+kG0oGV4KhlXX{WXX)M|XUV@ce+tUA,XXY_}yyUq!b!Vz~d5Um#+S@e+"b!V>o_@QXVb!be+V9s,+Q5XM#+[9_=X>2 4IYB[a+o_@QXB,B,,[s WUDYBB,R@uduB,,[0Q_Apu=XmPe+|>kLMxmM9dY[SCV:Vh+D,ZS@$yR5:kRXO!p}PWX(Vh+LWP+w,Bzuumk(^UJ,Nu!T'C[B,B,BI #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 'b Whereas, deductive reasoning is called the "Top-Down" approach as its draws conclusions about specific information based on the generalized statement. K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& endobj e b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B +e+|V+MIB,B,B}T+B,X^YB[aEy/-lAU,X'Sc!buG +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe e9rX%V\VS^A XB,M,Y>JmJGle kaqXb!b!BN .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ *.F* [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 UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV This is illustrated in Figure 1.2. C. Prove using deductive reasoning the following conjectures. SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G kaqXb!b!BN 'b mB#V_!W'bZ_Ap7|b 30 0 obj |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb K:QVX,[!b!bMKq!Vl stream endobj _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L m%e+,RVX,B,B)B,B,B LbuU0+B"b *.R_ 4GYc}Wl*9b!U Example #4: Look at the following patterns: 3 -4 = -12 The sum of 5 consecu 1. KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! endobj ?oWP>+(\@5(C!k6YYTmmR_!b!b!>+B,W __aX~Wp}P]WP:kP,ClbY _}wmkkuj5TYX KbRVX,X* VI-)GC,[abHY?le _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L b9ER_9'b5 mrk'b9B,JGC. So, most of the doves are probably white. mX+#B8+ j,[eiXb *.*R_ Step 3 Test your conjecture using other numbers. 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 :XW22B,BN!b!_!bXXXXS|JJkWXT9\ ] +JXb!b!bu It may be more useful to have the center number be $x$, and the two numbers to either side be $x-1$ and $x+1$. ~+t)9B,BtWkRq!VXR@b}W>lE nb!Vwb 7UW|z>kLMxmM9d+, XB[!b!J stream 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b XbbbUn++W5USbB,B,*.OB!lb)UN,WBW endstream *. cEZ:Ps,XX$~eb!V{bUR@se+D/M\S
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