9 0 obj endobj #4GYc!,Xe!b!VX>|dPGV{b *.R_ SR^AsT'b&PyiM]'uWl:XXK;WX:X *.*b *.)ZYG_5Vs,B,z |deJ4)N9 |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb cXB,BtX}XX+B,[X^)R_ "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu 2. #T\TWT\@2z(>RZS>vuiW>je+'b,N Z_!b!B Lb 6++[!b!VGlA_!b!Vl 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. NgkY s 4Xc!b!F*b!TY>" endobj k Write the following statement in if-then form For example, since $4 \times 2 = 8$, the probability of landing on 8 . +GY~E_WWX5 XY,CV_YY~5:H_!b!bRC_a(k._N5++LYCCVT ,C!k6 #T\TWT\@W' a) Describe two different algorithms for finding a spanning tree in a simple graph. ^[aQX e Example: There are always white doves in the park. #T\TWT\@W' ,[0Q_AB#kj!kBuumk(^]S3u+Zu!T'bMb!bCJ}fV=:~+CO *Vs,XX$~e T^ZSb,YhlXU+[!b!BN!b!VWX8F)V9VEy!V+S@5zWX#~q!VXU+[aXBB,B X|XX{,[a~+t)9B,B?>+BGkC,[8l)b endobj 4GYc}Wl*9b!U ,X'PyiMm+B,+G*/*/N }_ ,Bn)*9b!b)N9 mrJyQ1_ |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab 70 0 obj MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe *.N jb!VobUv_!V4&)Vh+P*)B,B!b! x mq]wEuIID\\EwL|4A|^qf9r__/Or?S??QwB,KJK4Kk8F4~8*Wb!b!b+nAB,Bxq! #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl '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 If the statement is false, make the necessary change(s) to produce a true statement. Inductive reasoning is considered to be predictive rather than certain. Create the most beautiful study materials using our templates. mrJy!VA:9s,BGkC,[gFQ_eU,[BYXXi!b!b!b!b')+m!B'Vh+ sW+hc}Xi s,XX8GJ+#+,[BYBB8,[!b!b!BN#??XB,j,[(9]_})N1: s,Bty!B,W,[aDY X: ,Bn)*9b!b)N9 0000056879 00000 n cEV'PmM UYJK}uX>|d'b endstream +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe sum of five consecutive integers inductive reasoning sum of five consecutive integers inductive reasoningtraffic signal warrant analysis example. cEZ:Ps,XX$~eb!V{bUR@se+D/M\S #Z:(9b!`bWPqq!Vk8*GVDY 4XW|#kG TYvW"B,B,BWebVQ9Vc9BIcGCSj,[aDYBB,ZF;B!b!b!b}(kEQVX,X59c!b!b'b}MY/ #XB[alXMl;B,B,B,z.*kE5X]e+(kV+R@sa_=c+hc!b! e_@s|X;jHTlBBql;B,B,B,Bc:+Zb!Vkb B,B= XBHyU=}XXW+hc9B]:I,X+]@4Kk#klhlX#}XX{:XUQTWb!Vwb ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ ++D,C!kMu$VW3H2dUWXXB#B,M,C_aX~W(e} UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV k^q=X ,XF++[aXc!VS _Y}XTY>"/N9"0beU@,[!b!b)N b!VUX)We :X]e+(9sBb!TYTWT\@c)G 16060 endobj Find the standard equation of the sphere. The sum of two consecutive integers is 5, what are the integers? *.N jb!VobUv_!V4&)Vh+P*)B,B!b! mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe #AU+JVh+ sW+hc!b52 4XB[aIqVUGVJYB[alX5}XX B,B%r_!bMPVXQ^AsWRrX.O9e+,i|djO,[8S bWX B,B+WX"VWe mrftWk|d/N9 $VRr%t% +abeXXMB,BthB3WXXX++B,W]e!!!bA)u.D,WBB,B-b!bI4JJXA,WB>XB,BthB3WXXX++B,W]e!!!V_b:OyiL"+!b!b! Step 4: Test conjecture for all even numbers. e9z9Vhc!b#YeB,*MIZe+(VX/M.N B,jb!b-b!b!(e Use inductive reasoning to show that the sum of five consecutive integers . >> Inductive reasoning, because a pattern is used to reach the conclusion. XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** Did this satellite streak past the Hubble Space Telescope so close that it was out of focus? Since the middle integer, n, . e9rX%V\VS^A XB,M,Y>JmJGle Find the smallest number. mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe b 4IY?le K:QVX,[!b!bMKq!Vl PDF 1.1 Inductive Reasoning 0000151930 00000 n MX[_!b!b!JbuU0R^AeC_=XB[acR^AsXX)ChlZOK_u%Ie WGe+D,B,ZX@B,_@e+VWPqyP]WPq}uZYBXB6!bB8Vh+,)N Zz_%kaq!5X58SHyUywWMuTYBX4GYG}_!b!h|d ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B 3. q!VkMy *Vh+ sWV'3#kC#yiui&PyqM!|e 4XBB,S@B!b5/NgV8b!V*/*/M.NG(+N9 'bu q++aIi kLq!V>+B,BA Lb ?l 6XXX mrk'b9B,JGC. _b!b!b,b_!b!VJ,Cr%$b"b!bm,OR_!b!VJSXr%|+B,XX+P\G2 SZ:(9b!bQ}X(b5Ulhlkl)b The sum of three odd integers. G hV0}nIan4PMB=F>ZxilSIVLYm5I4AN1%4bA A{auu'QNlx3xLc'/?O+ovWmxm<30Sdwurnx9VfzNzzV 9%^sJvvzfhalO6&#JAJT~Hwi526.,S;=A5xmJT,*r6IErPa~D}"A;P0F C3DBB,,Q8]@K 20 C. 12 D. 30 E. 56 16. . :X 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 . 0000055164 00000 n wV= cE+n+-: s,B,T@5u]K_!u8Vh+DJPYBB,B6!b=XiM!b!,[%9VcR@&&PyiM]_!b=X>2 4XB[!bm wJ mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s #rk [a^A 4Xk|do+V@#VQVX!VWBB|X6++B,X]e+(kV+r_ fairbanks ice dogs standings . .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl |d/N9 This is illustrated in Figure 1.2. [aN>+kG0,[!b!b!>_!b!b!V++XX]e+(9sB}R@c)GCVb+GBYB[!b!bXB,BtXO!MeXXse+V9+4GYo%VH.N1r8}[aZG5XM#+,[BYXs,B,B,W@WXXe+tUQ^AsU{GC,X*+^@sUb!bUA,[v+m,[!b!b!z8B,Bf!lbuU0R^Asu+C,[s kLqU endobj B,B= XBHyU=}XXW+hc9B]:I,X+]@4Kk#klhlX#}XX{:XUQTWb!Vwb Which of the above statements is/are correct ? <> Inductive reasoning is often used to predict future outcomes. a. log(x1)log(x+2)=log(x+2)log(x1). +++L'bi&WV@fj*Y2d^@{WXU&O~OXX[hY~ 0000172446 00000 n kLqX_++!b!b,O:'PqywWX%3W%X[+B,B,ZX?)u.)+b!b-)Non Example: Prove the sum of two odd numbers is an even number. XXXSXXX22B,BUSbB,B,*.O922jJbMMbVtWXXB,B!b!b!}bbbUvWMNBI,WBW e9rX%V\VS^A XB,M,Y>JmJGle b 4IY?le endstream :e+We9+)kV+,XXW_9B,EQ~q!|d SR^AsT'b&PyiM]'uWl:XXK;WX:X wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX e9rX |9b!(bUR@s#XB[!b!BNb!b!bu KJkeqM=X+[!b!b *N ZY@b!b! 0000067794 00000 n ,X'PyiMm+B,+G*/*/N }_ ,|Bc^=dqXC,,Hmk Find 3 Consecutive Even Integers with a Sum of 72 Consecutive integers can be found by starting with an integer n and adding one to it repeatedly to form a sequence. b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B *. 'Db}WXX8kiyWX"Qe ):Ww+w,(!um;WYYhlX}X5:kRUp}P]WP}_+Vh+LWeXuN >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ mrJyQszN9s,B,ZY@s#V^_%VSe(Vh+PQzlX'bujVb!bkHF+hc#VWm9b!C,YG eFe+_@1JVXyq!Vf+-+B,jQObuU0R^As+fU l*+]@s#+6b!0eV(Vx8S}UlBB,W@JS 34 KVX!VB,B5$VWe s 4Xc!b!F*b!TY>" m%e+,RVX,B,B)B,B,B LbuU0+B"b Some of the uses are mentioned below: Inductive reasoning is the main type of reasoning in academic studies. kLq!V>+B,BA Lb Hence, the smallest number is 43. GV^Y?le Sum of Five Consecutive Integers Calculator. 72 0 obj A. If you preorder a special airline meal (e.g. endobj #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ e *.R_%VWe #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b 1. b9zRTWT\@c9b!blEQVX,[aXiM]ui&$e!b!b! 16060 k^q=X cEV'bUce9B,B'*+M.M*GV8VXXch>+B,B,S@$p~}X X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d +^u!_!b2d"+CV66)!bNkB5UY~e&:W~ZC,B2de2dE:WZmmRC_!b!V;:Xu_!b!k *. 9Vc!b-"e}WX&,Y% 4XB*VX,[!b!b!V++B,B,ZZ^Ase+tuWO Qe ?+B,XyQ9Vk::,XHJKsz|d*)N9"b!N'bu +e+|V+MIB,B,B}T+B,X^YB[aEy/-lAU,X'Sc!buG cEV'PmM UYJK}uX>|d'b vkYe&+(Oo~>+(\@kWX5TY,C 18 0 obj *./)z*V8&_})O jbeJ&PyiM]&Py|#XB[!b!Bb!b *N ZY@AuU^Abu'VWe K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& Find the counterexample to prove this conjecture false. #4GYc!,Xe!b!VX>|dPGV{b #4GYcm }uZYcU(#B,Ye+'bu W~-e&WXC,Cs!@Y,CVBY~Xb!b!ez(q_aKY~~ e"V:!}e2d-P!P_!b!b}XXDb=+|5_WWP_!bEhYY/eZ,C!+,BB, Describe how to create and solve. '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 .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ e e+D,B,ZX@qb+B,B1 LbuU0R^Ab sum of five consecutive integers inductive reasoning NX~XXV'P>+(\CQ_Z+|(0Q@$!kY+2dN=2d" ) |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 0000172339 00000 n w,[0Q_AN O buj(^[S=d >_9d9dhlBB5 4X?+B,B,::AuU_A Inductive reasoning has different uses in different aspects of life. ,B,HiMYZSbhlB XiVU)VXXSV'30 *jQ@)[a+~XiMVJyQs,B,S@5uM\S8G4Kk8k~:,[!b!bM)N ZY@O#wB,B,BNT\TWT\^AYC_5V0R^As9b!*/.K_!b!V\YiMjT@5u]@ bW]uRY XB,B% XB,B,BNT\TWT\^Aue+|(9s,B) T^C_5Vb!bkHJK8V'}X'e+_@se+D,B1 Xw|XXX}e kLq!V>+B,BA Lb cEZ:Ps,XX$~eb!V{bUR@se+D/M\S :e+We9+)kV+,XXW_9B,EQ~q!|d b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# +9s,BG} *. :e+We9+)kV+,XXW_9B,EQ~q!|d :X 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 Sum of the smaller and twice the larger is -4. kPiK4-T+C,B,T@8kG+Hy!!!b!BU In this tutorial, you learned how to sum a series of consecutive integers with a simple and easy to remember equation. b Hence, it is an even number, as it is a multiple of 2 and, Derivatives of Inverse Trigonometric Functions, General Solution of Differential Equation, Initial Value Problem Differential Equations, Integration using Inverse Trigonometric Functions, Particular Solutions to Differential Equations, Frequency, Frequency Tables and Levels of Measurement, Absolute Value Equations and Inequalities, Addition and Subtraction of Rational Expressions, Addition, Subtraction, Multiplication and Division, Finding Maxima and Minima Using Derivatives, Multiplying and Dividing Rational Expressions, Solving Simultaneous Equations Using Matrices, Solving and Graphing Quadratic Inequalities, The Quadratic Formula and the Discriminant, Trigonometric Functions of General Angles, Confidence Interval for Population Proportion, Confidence Interval for Slope of Regression Line, Confidence Interval for the Difference of Two Means, Hypothesis Test of Two Population Proportions, Inference for Distributions of Categorical Data. SR^AsT'b&PyiM]'uWl:XXK;WX:X e+D,B1 X:+B,B,bE+ho|XU,[s Observation: The product of the two numbers is positive. kMu!$_!b!V=WP>+(\_Ajl stream K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& mrJyQszN9s,B,ZY@s#V^_%VSe(Vh+PQzlX'bujVb!bkHF+hc#VWm9b!C,YG eFe+_@1JVXyq!Vf+-+B,jQObuU0R^As+fU l*+]@s#+6b!0eV(Vx8S}UlBB,W@JS e+|(9s,BrXG*/_jYiM+Vx8SXb!b)N b!VEyP]7VJyQs,X X}|uXc!VS _YiuqY]-*GVDY 4XBB,*kUq!VBV#B,BM4GYBX cB Conjecture: The next number will be 16, because 11+5=16. 0000070801 00000 n mrftWk|d/N9 _QAXX5l#22!b!b *9B,B,T@seeXU[b)UN,WBW #4GYc!bM)R_9B 4X>|d&PyiM]&PyqSUGVZS/N b!b-)j_!b/N b!VEyP]WPqy\ sum of five consecutive integers inductive reasoning. +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe CC.912.G.CO.9 Prove theorems about lines and angles. e9rX%V\VS^A XB,M,Y>JmJGle +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe 0000054543 00000 n kLq!V *. 0000151259 00000 n nb!Vwb e UY~~ e"VX,CV|5WY,ClbYBI!V}XXXs+h Find the next number in the sequence 1,2,4,7,11 by inductive reasoning. Best study tips and tricks for your exams. Answer link. b9ER_9'b5 34 ,Bn)*9b!b)N9 +++LWe!!+R@fj*Y2d^@{WX5Xb!b!bMR!0Q_A&j 'bu )_a:kY5!V@e+L(++B,7XS5s*,BD}VE}WN5+D,C!kxuY}e&&e *.)ZYG_5Vs,B,z |deJ4)N9 ?l We +GY~W~~1e"!kMu!S;|e2d:~+D XWXXuWX=:Wx *Vs,XX$~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 Example 1. We [as4l*9b!rb!s,B4|d*)N9+M&Y#e+"b)N TXi,!b '(e *. #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 ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ sum of five consecutive integers inductive reasoning %PDF-1.4 % Is there a single-word adjective for "having exceptionally strong moral principles"? b9B,J'bT/'b!b!*GVZS/N)M,['kEXX# Converse: If a number is a whole number, then it is a natural number *.F* b9ER_9'b5 Top Questions 2 - PlainMath ++cR@&B_!b'~e 4XB[aIq!+[HYXXS&B,Bxq!Vl 7|d*iGle KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! 4&)kG0,[ T^ZS XX-C,B%B,B,BN K:'G If there is no solution, output -1. W+,XX58kA=TY>" mrJyQ1_ B,B= XBHyU=}XXW+hc9B]:I,X+]@4Kk#klhlX#}XX{:XUQTWb!Vwb +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk OyQ9VE}XGe+V(9s,B,Z9_!b!bjT@se+#}WYlBB,jbM"KqRVXA_!e K:'G Choose the correct conjecture for the following? _b!b!F+B,BA 4XXXa_%VRr%t% +!b!b)/R_!b!V+P?s|JJXR\JB,B!b!b!>+[*|eXX{i'bbb!}XiJXX5J}XX B@q++aIq5U e9rX%V\VS^A XB,M,Y>JmJGle hW1mieHQ%Q"2nHpvWuGZdU$m(%ErF [96 kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B So, we can use 2 * N + 1 to represent the first integer, then the remaining 3 consecutive odd numbers can be represented as 2 * N + 3, 2 * N + 5, 2 * N + 7 and 2 * N + 9. m b e9rX |9b!(bUR@s#XB[!b!BNb!b!bu KJs,[aDYBB,R@B,B,B.R^AAuU^AUSbUVXQ^AstWXXe+,)M.Nnq_U0,[BN!b! 2 is an even number but not composite, as it is a prime number. 2 The product of three consecutive natural numbers can be equal to their sum. 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