S KVX!VB,B5$VWe moIZXXVb5'*VQ9VW_^^AAuU^A 4XoB 4IY>l <> 34 0000067794 00000 n 'Db}WXX8kiyWX"Qe 6XXX XA 2, 2 XB} 1 2}, 2 XC 3, 10 XD 2, 21 23. +9Vc}Xq- 34 SZ:(9b!bQ}X(b5Ulhlkl)b B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX ,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 ++cR@&B_!b'~e 4XB[aIq!+[HYXXS&B,Bxq!Vl Case $3: x=3k+2$, then $x^2+2=9k^2+12+4+2=3(3k^2+4k+2)$. b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! b9ER_9'b5 q!Vl ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ Example: There are always white doves in the park. *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD SR^AsT'b&PyiM]'uWl:XXK;WX:X |d/N9 'bub!bC,B5T\TWb!Ve Lets once again take a look at what we learned through examples. #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl K:'G Example: x2>x . KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb +GY~E_WWX5 XY,CV_YY~5:H_!b!bRC_a(k._N5++LYCCVT ,C!k6 *. K:'G #rk [a^A 4Xk|do+V@#VQVX!VWBB|X6++B,X]e+(kV+r_ <> m ++D,C!kMu!)M_h *UQ_!b!bm'|XGX5X, mrs7+9b!b Rw <> In math, what does reciprocal mean? kV)!R_A{5WXT'b&WXzu!!(C4b U!5X~XWXXuWX=+ZC,B ,Bn)*9b!b)N9 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ endstream kByQ9VEyUq!|+E,XX54KkYqU B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX ?l XW+b!5u]@K 4X>l% T^\Syq!Bb!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 *. *. #BYB[a+o_@5u]@XB,Bt%VWXX)[aDYXi^}/ kByQ9V8ke}uZYc!b=X&PyiM]&Py}#GVC,[!b!bi'bu 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 If there is no solution, output -1. SZ:(9b!bQ}X(b5Ulhlkl)b Although it looks a bit similar, there are still differences. Complete the conjecture: The square of any negative number is ? endobj <> #4GYcm }uZYcU(#B,Ye+'bu KVX!VB,B5$VWe XF+4GYkc!b5(O9e+,)M.nj_=#VQ~q!VKb!b:X +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe >Q@kWW _!b X_=dd:eY* *.vq_ +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! cE+n+-: s,B,T@5u]K_!u8Vh+DJPYBB,B6!b=XiM!b!,[%9VcR@&&PyiM]_!b=X>2 4XB[!bm wJ :X]e+(9sBb!TYTWT\@c)G ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B ,XF++[aXc!VS _Y}XTY>"/N9"0beU@,[!b!b)N b!VUX)We 7|d*iGle <> Choose the correct conjecture for the following? 9b!b=X'b ~+t)9B,BtWkRq!VXR@b}W>lE kaqXb!b!BN 0000065974 00000 n +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk True/False: What is the answer to the conjecture? #AU+JVh+ sW+hc!b52 4XB[aIqVUGVJYB[alX5}XX B,B%r_!bMPVXQ^AsWRrX.O9e+,i|djO,[8S bWX B,B+WX"VWe Wb}'XXC5u]@#U'b cEV'PmM UYJK}uX>|d'b Step 1 1 of 3. XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** mrJyQb!y_9rXX[hl|dEe+V(VXXB,B,B} Xb!bkHF+hc=XU0be9rX5Gs The product of two consecutive positive integers is 1,332. So, doves and geese are both of the same species. Remember: Consecutive numbers are numbers that come after another in increasing order. mrJyQb!y_9rXX[hl|dEe+V(VXXB,B,B} Xb!bkHF+hc=XU0be9rX5Gs S: s,B,T\MB,B5$~e 4XB[a_ =*GVDY 4XB*VX,B,B,jb|XXXK+ho 33 0 obj #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl Z a. *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* 'bub!bCHyUyWPqyP]WTyQs,XXSuWX4Kk4V+N9"b!BNB,BxXAuU^AT\TWb+ho" X+GVc!bIJK4k8|#+V@se+D,B1 X|XXB,[+U^Ase+tUQ^A5X+krXXJK4Kk+N9 q++aIi *b!VBN!b/MsiU"2B,BA X+WXhg_"b!*.SyU_bm-R_!b/N b!:Oyq\U++C,B,T@B,j_@seeX5&r% +!b!b)O:'Pq}Xkk}X8SXKS\?Ubbb!b!Bb!VC,C,C,B1+a\ kNy'bl'bbb!b\ +JXXsN Tr_!b/9r%t%,)r_!b/N b!:Oy}uXXXX8ke}XkL|JXA,WBB,S@5u*O 0000094672 00000 n :e+We9+)kV+,XXW_9B,EQ~q!|d ,XF++[aXc!VS _Y}XTY>"/N9"0beU@,[!b!b)N b!VUX)We k~u!R_ApV" S k k^q=X m% XB,:+[!b!VG}[ ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ 'bu #4GYcm }uZYcU(#B,Ye+'bu 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ k~u!AuU_Abe+|(Vh+LT'b6'b9d9dEj(^[S x_9de+|:kRXuH endobj Let us take into consideration the integer numbers. 'bk|XWPqyP]WPq}XjHF+kb}X T^ZSJKszC,[kLq! MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe <> mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! 69 0 obj I. Download Free PDF Download PDF Download Free PDF View PDF. (o%D(_Ok1pLukLy'V$W#sp4UX 49 I~&cM%]J]u_132>IM}`fZ;C{2bu^e{oTrwl%E(yciJ#g'Wbh^?Uw)+ROQ_H],3^Q =4__f%Wm#$SrNJQ0J\G3st5ZFKG(-=Ig'Zr'UjZM,?I>`< ;SlvQ|f4v!@&V=7]lLc@17p$I8'8}O~d`Yeup$@bh ; P.#ra(F$xlG&g@rRb (E#Q ] t@)$gx}G:R mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab This decision is an example of inductive reasoning. *. endobj wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U mB&Juib5 +9Vc}Xq- N represents an integer. 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ endstream .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B mrJyQ1_ s 4XB,,Y !*beXXMBl X+WBW #T\TWT\@2z(>RZS>vuiW>je+'b,N Z_!b!B Lb mB&Juib5 Consecutive odd integers word problem If the first and third of three odd consecutive integers are added, the result is 87 less than five times the second Data Protection; Clear up mathematic problem; Instant answers . endobj 0000006113 00000 n *.F* Converse: If a number is a whole number, then it is a natural number GV^Y?le 7WWX=++LT'bY@fj*YC,C!+R@N C_#;5UY~ Yes I got it now. SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G b "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu kLq!V>+B,BA Lb Top Questions. mrs7+9b!b Rw S: s,B,T\MB,B5$~e 4XB[a_ RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* StudySmarter is commited to creating, free, high quality explainations, opening education to all. 41 0 obj 6_!b!V8F)V+9sB6!V4KkAY+B,YC,[o+[ XB,BWX/NQ [as4l*9b!rb!s,B4|d*)N9+M&Y#e+"b)N TXi,!b '(e 6XXX b 4IY?le ++cR@&B_!b'~e 4XB[aIq!+[HYXXS&B,Bxq!Vl 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: kLq!V S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu e9rX |9b!(bUR@s#XB[!b!BNb!b!bu 0000005489 00000 n 'bu *.*R_ 2.1 Use Inductive Reasoning Big Idea: To use INDUCTIVE REASONING in mathematics. mrJyQ1_ _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L 7 0 obj #AU+JVh+ sW+hc!b52 4XB[aIqVUGVJYB[alX5}XX B,B%r_!bMPVXQ^AsWRrX.O9e+,i|djO,[8S bWX B,B+WX"VWe W/?o *R_A{WWNg_ 'Db}WXX8kiyWX"Qe #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl x+*00P A3S0i w Lerne mit deinen Freunden und bleibe auf dem richtigen Kurs mit deinen persnlichen Lernstatistiken. Sum of Five Consecutive Integers Calculator. +DYY,CVX,CV:kRUb!b!bZ_A{WWx endobj 'Db}WXX8kiyWX"Qe endstream N R_Ajl-e 0000149215 00000 n b # XGV'b_!b!BC+(\TW= *.R_ 'b 70 0 obj 0000057583 00000 n >S?s|JJXR?B,B,B,W?)u.o*kaq!WX.O922B,m_5%+aXX5BB,Bxq++aIi ~+B,'bu K:QVX,[!b!bMKq!Vl WX+hl*+h:,XkaiC? S"b!b A)9:(OR_ ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B k e+D,B,ZX@qb+B,B1 LbuU0R^Ab KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! +GYXr:J,Nu!VN ::N"B,B,B9 XWPB,GYB[aAuU@Xj|B,B'*MxmM=&PJ,Nu!T'jb}WXX5:AuU_A It may be more useful to have the center number be x, and the two numbers to either side be x 1 and x + 1. :X Deductive reasoning is a reasoning method that makes conclusions based on multiple logical premises which are known to be true. q!VkMy 6++[!b!VGlA_!b!Vl RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* !GY~~ 16060 cEZ:Ps,XX$~eb!V{bUR@se+D/M\S _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L e9rX |9b!(bUR@s#XB[!b!BNb!b!bu mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b Inductive reasoning in geometry observes geometric hypotheses to prove results. #T\TWT\@2z(>RZS>vuiW>je+'b,N Z_!b!B Lb Let the first number be n #n+(n+1)=5# simplified to #2n=4# divide by 2 gives #n=2 and (n+1)=3# Answer link . Consider some even numbers, say, 68, 102. Example: 7 doves out of 10 I have seen are white. 18 0 obj =k4^`e!b=X+N=rFj(L_M% 3 + 5 = 8. q++aIi p*b!VBN!b/MsiS"2B,BA X+WXh_"b!*.SyT_bm-R_!b/N b!:OyqDU++C,B,T@}XkLqJ++!b!b,O:'PqyM S: s,B,T\MB,B5$~e 4XB[a_ endobj #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl 4GYc}Wl*9b!U *. mrftWk|d/N9 Create and find flashcards in record time. So, the statements may not always be true in all cases when making the conjecture. KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl d+We9rX/V"s,X.O TCbWVEBj,Ye kLqU 16060 :X]e+(9sBb!TYTWT\@c)G b. Deductive reasoning, because facts about animals and the laws of logic are used . &= 3\left ( x^{3}+3x^{2}+5x+3 \right )\\ |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD *.J8j+hc9B,S@5,BbUR@5u]@X:XXKVWX5+We9rX58KkG'}XB,YKK8ke|e 4XBB,S@B!b5/N* _)9r_ W+,XX58kA=TY>" RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* cXB,BtX}XX+B,[X^)R_ endstream |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb kByQ9VEyUq!|+E,XX54KkYqU 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: Xg&P|b: X,CV65u]@5zW~XXgV'P>9dF_=a+We&Mx 2duhYHmkk:+G7}WXXufuCV_An,J}Q__a:w@,CV:e&P%'|WXXufuCV_An,J}Q__a:I,CeT'bYWb}+D,B,::AuU_A x mq]wEuIID\\EwL|4A|^qf9r__/Or?S??QwB,KJK4Kk8F4~8*Wb!b!b+nAB,Bxq! ,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 mrJyQ1_ 0000002705 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 "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu The sum of five consecutive integers, as the name implies, requires the addition of five consecutive integers. CONTACT; Email: Inventory Management Strategies Of Canadian Tire, How To Create 15 Minute Time Intervals In Excel, New Balance Indoor Nationals 2022 Standards. Inductive reasoning is not logically valid. kLqX_++!b!b,O:'PqywWX%3W%X[+B,B,ZX?)u.)+b!b-)Non The general unproven conclusion we reach using inductive reasoning is called a conjecture or hypothesis. sum of five consecutive integers inductive reasoning. 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 e+|(9s,BrXG*/_jYiM+Vx8SXb!b)N b!VEyP]7VJyQs,X X}|uXc!VS _YiuqY]-*GVDY 4XBB,*kUq!VBV#B,BM4GYBX wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U S: s,B,T\MB,B5$~e 4XB[a_ s 4Xc!b!F*b!TY>" 34 +DHu!!k%2d(eJ(B_!b!b=Xw+h *.*R_ B,_!bD&Pzj(^[S N="b!B#+B,ZT@p}[GYB XGV'P True. "bU@5)BD}P]5WXe+|(Vh+LT'b,rr&P+,^@5)B, 2 The product of three consecutive natural numbers can be equal to their sum. If the sum of the smallest consecutive integer and the largest consecutive integer is 99, what is the smallest consecutive integer? ~iJ[+C,C "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu kLq!V _,9rkLib!V |d*)M.N B}W:XXKu_!b!b** e9z9Vhc!b#YeB,*MIZe+(VX/M.N B,jb!b-b!b!(e <> (a) Prove: If n is the sum of 4 consecutive integers, then n is not divisible by 4. 53 0 obj R22 !!b!b5+/,B,BC,CC{BJSXr%D,Bb_!b!b!b}pV'buj-n b9ER_9'b5 Therefore,k-2 + k-1 + k + k+1 + k+2= n5*k = nThe five numbers will be n/5 2, n/5 1, n/5, n/5 + 1, n/5 + 2. mX+#B8+ j,[eiXb 60 0 obj W+,XX58kA=TY>" s 4XB,,Y OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e 19 0 obj 'bul"b OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e 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. K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& & (x)^{3}+(x+1)^{3}+(x+2)^{3}\\ nb!Vwb *.*b So, before that, we have to figure out two concepts: what is an integer? =*GVDY 4XB*VX,B,B,jb|XXXK+ho kByQ9VEyUq!|+E,XX54KkYqU cXB,BtX}XX+B,[X^)R_ mrJyQb!y_9rXX[hl|dEe+V(VXXB,B,B} Xb!bkHF+hc=XU0be9rX5Gs ~+t)9B,BtWkRq!VXR@b}W>lE The same is true whether it is consecutive even numbers or consecutive odd numbers. XGV'P|;b!VXYYumh^C0U@5)B,::&e_!b!b! 'b Truth value: True. s 4Xc!b!F*b!TY>" GV^Y?le mrJyQb!y_9rXX[hl|dEe+V(VXXB,B,B} Xb!bkHF+hc=XU0be9rX5Gs stream #T\TWT\@2z(>RZS>vuiW>je+'b,N Z_!b!B Lb 4GYc}Wl*9b!U 13 0 obj _*N9"b!B)+B,BA T_TWT\^AAuULB+ho" X+_9B,,YKK4kj4>+Y/'b Then the numbers are x, x + 1, x + 2, x + 3, and x + 4. mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! Given an integer n, the task is to find whether n can be expressed as sum of five consecutive integer. ,B2dT'b}Yg4XCe(&}XGX5X, +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU RR^As9VEq!9bM(O TCbWV@5u]@lhlX5B,_@)B* kByQ9VEyUq!|+E,XX54KkYqU >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ <> XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** KJkeqM=X+[!b!b *N ZY@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 B,B= XBHyU=}XXW+hc9B]:I,X+]@4Kk#klhlX#}XX{:XUQTWb!Vwb kLq!V Stop procrastinating with our study reminders. kByQ9VEyUq!|+E,XX54KkYqU q++aIi @*b!VBN!b/MsiR"2B,BA X+WXhg_"b!*.SyR_bm-R_!b/N b!:Oyq,U++C,B,T@}XkLq2++!b!b,O:'Pqy5 !*beXXMBl kLq!V>+B,BA Lb *.F* Create the most beautiful study materials using our templates. ~WXUYc9(O j1_9rU,B,58[!_=X'#VX,[tWBB,BV!b=X uWX'VXA,XWe%q_=c+tQs,B58kVX+#+,[BYXUXWXXe+tUQ^AsWBXerkLq! SZ:(9b!bQ}X(b5Ulhlkl)b WP}_o$Te Inductive reasoning is a reasoning method that recognizes patterns and evidence to reach a general conclusion. *.vq_ We&+(\]S$!\"b:e&P#}5Xw*kKu=X _TAXXWWeeUA,C,C,B,ZXTs|XX5k9*|XiJXX5J}XX B@q++aIqYU mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! Therefore, let the first even number is 2 * N, then the remaining 4 consecutive even numbers can be expressed as 2 * N + 2, 2 * N + 4, 2 * N + 6and 2 * N + 8. "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu 3 0 obj ,Bn)*9b!b)N9 mT\TW XuW+R@&BzGV@GVQq!VXR@8F~}VYiM+kJq!k*V)*jMV(G kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! >X@{MxmM]W'|bWse+(VXX[V_!b!b!Te "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu SR^AsT'b&PyiM]'uWl:XXK;WX:X Proof: $x=3k\Rightarrow x\equiv 0\pmod{3}$, $x=3k\pm 1\Rightarrow x^2 \equiv (\pm 1)^2 \equiv 1\pmod{3}\Rightarrow x^2+2\equiv 0\pmod{3}$. Inductive Reasoning Inductive Reasoning Inductive Reasoning Calculus Absolute Maxima and Minima Absolute and Conditional Convergence Accumulation Function Accumulation Problems Algebraic Functions Alternating Series Antiderivatives Application of Derivatives Approximating Areas Arc Length of a Curve Area Between Two Curves Arithmetic Series }B,::B,_@{MxmM]W'b}l-e +C,,Hmkk6 XloU'bM VXT9\ ] +JX=_!,9*!m_!+B,C,C Determine whether the argument is an example of inductive reasoning (IR) or deductive reasoning (DR). e9z9Vhc!b#YeB,*MIZe+(VX/M.N B,jb!b-b!b!(e
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