sum of five consecutive integers inductive reasoning sum of five consecutive integers inductive reasoning

+hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe <> KVX!VB,B5$VWe mrk'b9B,JGC. b1_YhYHmk cB 'bub!bC,B5T\TWb!Ve XXX22B,E}JJB,O4JJXA,WBBjb}WXX) mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb #Z: e+D,B1 X:+B,B,bE+ho|XU,[s 0000070801 00000 n *. +9Vc}Xq- ,Bn)*9b!b)N9 38 0 obj S Here we will understand what inductive reasoning is, compare it to related concepts, and discuss how we can give conclusions based on it. #Z: The use process is also very simple, input the first integer, then select the integer type. 2.1 Use Inductive Reasoning Big Idea: To use INDUCTIVE REASONING in mathematics. SZ:(9b!bQ}X(b5Ulhlkl)b +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU *. x 2 + y 2 Archimedes, Newton, Gauss If the conjecture is FALSE, give a counterexample. cXB,BtX}XX+B,[X^)R_ mB&Juib5 *. e+D,B1 X:+B,B,bE+ho|XU,[s stream b9ER_9'b5 fairbanks ice dogs standings . 4&)kG0,[ T^ZS XX-C,B%B,B,BN #T\TWT\@2z(>RZS>vuiW>je+'b,N Z_!b!B Lb +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU BIB,BshlD}e+&X7>W@YYW'b e9rX%V\VS^A XB,M,Y>JmJGle endobj cXB,BtX}XX+B,[X^)R_ WUDYBB,R@uduB,,[0Q_Apu=XmPe+|>kLMxmM9dY[SCV:Vh+D,ZS@$yR5:kRXO!p}PWX(Vh+LWP+w,Bzuumk(^UJ,Nu!T'C[B,B,BI ,X'PyiMm+B,+G*/*/N }_ 34 Truth value: False, 0 e Does ZnSO4 + H2 at high pressure reverses to Zn + H2SO4? ,X'PyiMm+B,+G*/*/N }_ *. sum of five consecutive integers inductive reasoning 2022. . $VRr%t% +Wb(jb!bC@}e*12B,B,Zv_!b!VJ,CjPUiJK&kc}XXz+MrbV+b5 +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU * >+[aJYXX&BB,B!V(kV+RH9Vc!b-"~eT+B#8VX_ %PDF-1.4 ,G e ^[aQX e +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G In this question, the universal set, U, is the set of positive integers less than 20, and every set in this question is a subset of U. cEV'bUce9B,B'*+M.M*GV8VXXch>+B,B,S@$p~}X 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: #4GYcm }uZYcU(#B,Ye+'bu e+D,B1 X:+B,B,bE+ho|XU,[s 34 *. e9rX |9b!(bUR@s#XB[!b!BNb!b!bu mrAU+XBF!pb5UlW>b 4IYB[aJ}XX+bEWXe+V9s Inductive Reasoning - PDFs. stream KbRVX,X* VI-)GC,[abHY?le Step 1: Find a rule by using few examples. 0000004933 00000 n b |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s k 16 0 obj _*N9"b!B)+B,BA T_TWT\^AAuULB+ho" X+_9B,,YKK4kj4>+Y/'b 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 *. _*N9"b!B)+B,BA T_TWT\^AAuULB+ho" X+_9B,,YKK4kj4>+Y/'b e endobj That is The difference between inductive reasoning and deductive reasoning is that, if the observation is true, then the conclusion will be true when using deductive reasoning. endobj 0000002492 00000 n *.R_ kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! Inductive reasoning is a reasoning method that recognizes patterns and evidence to reach a general conclusion. X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d Through the above discussion, you should understand how to calculate the sum of 5 consecutive integers. *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD ^,9Z:WPqqM!G9b!b*M.M*/hlBB1 X}b!bC,B5T\TWAu+B kLq!V mrk'b9B,JGC. ?+B,XyQ9Vk::,XHJKsz|d*)N9"b!N'bu *.*b q!Vl 4&)kG0,[ T^ZS XX-C,B%B,B,BN The same is true whether it is consecutive even numbers or consecutive odd numbers. mrJyQb!y_9rXX[hl|dEe+V(VXXB,B,B} Xb!bkHF+hc=XU0be9rX5Gs But the chosen numbers 2 and 5 are not positive. k4Y~ bS_A{uWP:2d" XUuF5TY By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab B,B= XBHyU=}XXW+hc9B]:I,X+]@4Kk#klhlX#}XX{:XUQTWb!Vwb *.N1rV'b5GVDYB[aoiV} T^ZS T^@e+D,B,oQQpVVQs,XXU- Therefore, the sum of 5 consecutive integers can be expressed by the formula: N + (N + 1) + (N + 2) + (N + 3) + (N + 4). by John Pegg and Angel Gutierrez. 0000095472 00000 n kLq!V 2d&WW ]_Apu!Y2d=wJk(^[SSHB,BvUb!be+L0Ac~_oWP>+(\@5(C!k6YW]@2d@b Ub!bCN,C_aX~~ b~]_Apu!Y2d?d5| )C $Pe!b!VG+B,W __aX~E_}AuU_ABAYe:sjk(^[SSHB,Bv#VVB#kgY~ b&W^_Apu!Y2d3dM&PY6XCXXA.N :6W __aXc\3q #Z: q++aIi X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d Formula for sum of 'n' terms of an arithmetic sequence: S n = n 2 [ 2 a 1 + ( n - 1) d]. wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U m%e+,RVX,B,B)B,B,B LbuU0+B"b X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 ,Bn)*9b!b)N9 kLqU |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb {3W}}eXX8S#beeUA,C,C,B,j+W_XXX 4XXX9_!xb)UN,WBW 63 0 obj ,[s _)9r_ XF+4GYkc!b5(O9e+,)M.nj_=#VQ~q!VKb!b:X We ~+t)9B,BtWkRq!VXR@b}W>lE 0000058664 00000 n W'b:Xc!bk(^[SYgumWPV@{e+"bN :[}XC,^@$p}P]WP}u>llWPrF_! !Cumk(^]SmzC,[!b!bN :[}XC,__Ap}e+&;b!V65z B,}zBI!b!! Lb=y+|W,[aAuU_A ++cR@&B_!b'~e 4XB[aIq!+[HYXXS&B,Bxq!Vl k The positive difference of the cubes of two consecutive positive integers is 111 less than five times the product of the two consecutive integers. 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b which shows that n is sum of ve consecutive integers. #Z: _WX B,B,22 !!b!b-6'bbb &VWmT9\ ] +JXXsZ+B,jbg\ ] KZ+B,jb!b!bmUbbbUWXXh+JSXr%D,B9-b!b53W%b!b5**eeXX+B,B 4XXXb)UN,WBW Write the inverse, converse, and contrapositive of the conditional statements below. Sign up to highlight and take notes. A,B :X]e+(9sBb!TYTWT\@c)G e s 4XB,,Y X~~ b"V:e^eY,Ce"b!VWXXO$! For example, the sum of 3 consecutive odd integers is 30, find these odd integers. endobj S4GYkLiu-}XC,Y*/B,zlXB,B% X|XX+R^AAuU^AT\TW0U^As9b!*/GG}XX>|d&PyiM]'b!|e+'bu +9Vc}Xq- 1. Hypothesis: Both numbers taken must be positive. Are inductive and deductive the same type of reasoning? .)ZbEe+V(9s,z__WyP]WPqq!s,B,,Y+W+MIZe+(Vh+D,5u]@X2B,ZRBB,Bx=UYo"ET+[a89b!b=XGQ(GBYB[a_ "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu Consider the true statements Numbers ending with 0 and 5 are divisible by 5. %PDF-1.4 % |d P,[aDY XB"bC,j^@)+B,BAF+hc=9V+K,Y)_!b P,[al:X7}e+LVXXc:X}XXDb #T\TWT\@W' *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe stream m kLq!VH X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe Below is the implementation of this approach: Find last five digits of a given five digit number raised to power five, Count numbers up to N that cannot be expressed as sum of at least two consecutive positive integers, Check if a number can be expressed as a sum of consecutive numbers, Count primes that can be expressed as sum of two consecutive primes and 1, Count prime numbers that can be expressed as sum of consecutive prime numbers, Check if a given number can be expressed as pair-sum of sum of first X natural numbers, Check if a number can be expressed as sum two abundant numbers, Check if a number can be expressed as sum of two Perfect powers, Check if a number N can be expressed as the sum of powers of X or not, Check if a prime number can be expressed as sum of two Prime Numbers. *.R_ 'b #Z: 43 0 obj SX5X+B,B,0R^Asl2e9rU,XXYb+B,+G m%e+,RVX,B,B)B,B,B LbuU0+B"b ,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 #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 kLq!V>+B,BA Lb Example #4: Look at the following patterns: 3 -4 = -12 The sum of 5 consecu 1. endstream endobj mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle *.R_%VWe NX~XXV'P>+(\CQ_Z+|(0Q@$!kY+2dN=2d" ) 'Db}WXX8kiyWX"Qe 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: ^[aQX e 0000149215 00000 n *./)z*V8&_})O jbeJ&PyiM]&Py|#XB[!b!Bb!b *N ZY@AuU^Abu'VWe 8VX0E,[kLq!VACB,B,B,z4*V8+,[BYcU'bi99b!V>8V8x+Y)b 'b,N Z=_=Xy!!!b!BbmwyN $}Xq++aIi B]byiK4#_!b!VB X+'+O922B,S@{B !b.O:'Pqyb!V)/MsiOyiJK+B,j^@8ke|b 4XXXXcVvW!B T\^S*.O:'uW_bm-N ZE_!OyiJKKS\?'|XXcV'b|X)O922B,S@B !b.O:'Pqy*9r%t%,)Z@ +DHu!!k%2d(eJ(B_!b!b=Xw+h *. #T\TWT\@W' q!VkMy ,[s endstream 7WWXQ__a(Y7WSe2dMW!C,BBzWXXu$*kWPM`eVWW=B,CV6TbYez:k(>+B,B,:XS5s+(\_A&j wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U KJkeqM=X+[!b!b *N ZY@b!b! Uu!:vC,C!+R@z&PC__!b!b-N :AuU_DQ_=++LWP>$QCC,C!+R@z&P&U'bZ_AYoWe&+(\TW XGk;}XoU'bYC65u^_!b!b-N :AuU_JQ_=++LWP>>[[SYo p}P]WPAuUOQ_ mrJy!VA:9s,BGkC,[gFQ_eU,[BYXXi!b!b!b!b')+m!B'Vh+ sW+hc}Xi s,XX8GJ+#+,[BYBB8,[!b!b!BN#??XB,j,[(9]_})N1: s,Bty!B,W,[aDY X: k~u!R_ApV" 34 m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L Often inductive reasoning is referred to as the "Bottom-Up" approach as it uses evidence from specific scenarios to give generalized conclusions. kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! cE+n+-: s,B,T@5u]K_!u8Vh+DJPYBB,B6!b=XiM!b!,[%9VcR@&&PyiM]_!b=X>2 4XB[!bm wJ The sum of two consecutive integers is 5, what are the integers? endobj b9ER_9'b5 33 0 obj +9Vc}Xq- [aN>+kG0,[!b!b!>_!b!b!V++XX]e+(9sB}R@c)GCVb+GBYB[!b!bXB,BtXO!MeXXse+V9+4GYo%VH.N1r8}[aZG5XM#+,[BYXs,B,B,W@WXXe+tUQ^AsU{GC,X*+^@sUb!bUA,[v+m,[!b!b!z8B,Bf!lbuU0R^Asu+C,[s *. endstream mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle X8keqUywW5,[aVvW+]@5#kgiM]&Py|e 4XB[aIq!Bbyq!z&o?A_!+B,[+T\TWT\^A58bWX+hc!b!5u]BBh|d b"b!. moIZXXVb5'*VQ9VW_^^AAuU^A 4XoB 4IY>l S S: s,B,T\MB,B5$~e 4XB[a_ K:QVX,[!b!bMKq!Vl So, the statements may not always be true in all cases when making the conjecture. [S@5&&PCCC,[kM >> [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 x mq]wEuIID\\EwL|4A|^qf9r__/Or?S??QwB,KJK4Kk8F4~8*Wb!b!b+nAB,Bxq! ,!V!_!b=X+N=rFj(^]SOV"BIB,BshlD}e++Q@5&&P>u!k^N= I thought of doing a proof by contradiction. ~+t)9B,BtWkRq!VXR@b}W>lE Solution. Observation: From the given pattern, we can see that every quadrant of a circle turns black one by one. *.*R_ 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 cB Let the consecutive numbers be n and n + 1. endobj mrJyQ1_ mrJyQ1_ Express the fraction 164 using negative exponent. cEZ:Ps,XX$~eb!V{bUR@se+D/M\S 22 0 obj Sequence Pattern, Mouli Javia - StudySmarter Originals. S: s,B,T\MB,B5$~e 4XB[a_ stream 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 June 7, 2022 . >> *.*R_ 0000073513 00000 n ,X'PyiMm+B,+G*/*/N }_ #rk [a^A 4Xk|do+V@#VQVX!VWBB|X6++B,X]e+(kV+r_ kByQ9V8ke}uZYc!b=X&PyiM]&Py}#GVC,[!b!bi'bu 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 It is sufficient to show only one counterexample to prove the conjecture false. B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX Conjecture: The sum of the first n odd positive integers is __?__. 4GYc}Wl*9b!U Let's take a look at some of the advantages and limitations of inductive reasoning. moIZXXVb5'*VQ9VW_^^AAuU^A 4XoB 4IY>l 0000125414 00000 n kLqU *./)z*V8&_})O jbeJ&PyiM]&Py|#XB[!b!Bb!b *N ZY@AuU^Abu'VWe :X k^q=X Conjecture: The product of two positive numbers is always greater than either number. 5 weeks 6 days pregnant ultrasound pictures Projetos; is luke marrs adopted Blog; thomas aquinas natural law pdf Quem somos; . *./)z*V8&_})O jbeJ&PyiM]&Py|#XB[!b!Bb!b *N ZY@AuU^Abu'VWe MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe *.*b nb!Vwb For example: What is the sum of 5 consecutive odd numbers 81, 83, 85, 87 and 89? :X MX}XX B,j,[J}X]e+(kV+R@&BrX8Vh+,)j_Jk\YB[!b!b AXO!VWe Therefore, the sum of 5 consecutive odd numbers is equal to 5 times the third odd number. endobj 'Db}WXX8kiyWX"Qe ~+t)9B,BtWkRq!VXR@b}W>lE mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab cEV'PmM UYJK}uX>|d'b kLq!VH &&e?d"bCV)!,B}Wpu!_!b2d2dR IYY~X+B,BU:~+(~_+(\@kWX6YYTmmRC_!b!V;* 30 0 obj #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b x+*00P A3S0ih ~ #Z:'b f}XGXXk_Yq!VX9_UVe+V(kJG}XXX],[aB, q!Vl Observation: The product of the two numbers is positive. kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! #-bhl*+r_})B,B5$VSeJk\YmXiMRVXXZ+B,XXl +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe 8Vh+,)MBVXX;V'PCbVJyUyWPq}e+We9B,B1 T9_!b!VX>l% T^ZS X! _ :X]e+(9sBb!TYTWT\@c)G _*N9"b!B)+B,BA T_TWT\^AAuULB+ho" X+_9B,,YKK4kj4>+Y/'b Find two consecutive positive integers whose product is 240. stream >> #4GYc!,Xe!b!VX>|dPGV{b . '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 "T\TWbe+VWe9rXU+XXh|d*)M|de+'bu ^[aQX e 9b!b=X'b #TA_!b)Vh+(9rX)b}Wc!bM*N9e+,)MG"b The quantity in Column B is greater C. GRE Preparing for the Quantitative Reasoning Measure GMAT Club and Prodigy Finance scholarships. K:'G U})E}e+e+|>kLMxmMszWUN= +e+D:+[kEXFYB[aEyuVVl+AU,X'P[bU ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ _)9r_ ,Bn)*9b!b)N9 b9ER_9'b5 2 is an even number but not composite, as it is a prime number. mrJyQb!y_9rXX[hl|dEe+V(VXXB,B,B} Xb!bkHF+hc=XU0be9rX5Gs kLq!V endobj Given that $a$, $b$, $c$ are natural numbers, with $a^2+b^2=c^2$ and $ c-b=1$, prove the following. 'b b 4IY?le junho 16, 2022. <> +X}e+&Pyi V+b|XXXFe+tuWO 0T@c9b!b|k*GVDYB[al}K4&)B,B,BN!VDYB[y_!Vhc9 s,Bk ZkwqWXX4GYBXC$VWe9(9s,Bk*|d#~q!+CJk\YBB,B6!b#}XX5(V;+[HYc!b!*+,YhlBz~WB[alXX+B,B1 4JYB[aEywWB[ao" XmB,*+,Yhl@{ :X e9rX |9b!(bUR@s#XB[!b!BNb!b!bu 4GYc}Wl*9b!U We should always validate it, as it may have more than one hypothesis that fits the sample set. *.)ZYG_5Vs,B,z |deJ4)N9 e+|(9s,BrXG*/_jYiM+Vx8SXb!b)N b!VEyP]7VJyQs,X X}|uXc!VS _YiuqY]-*GVDY 4XBB,*kUq!VBV#B,BM4GYBX 7|d*iGle UXWXXe+VWe >zl2e9rX5kGVWXW,[aDY X}e+VXXcV #AU+JVh+ sW+hc!b52 4XB[aIqVUGVJYB[alX5}XX B,B%r_!bMPVXQ^AsWRrX.O9e+,i|djO,[8S bWX B,B+WX"VWe Try It! Check the full answer on App Gauthmath. #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 m% XB0>B,BtXX#oB,B,[a-lWe9rUECjJrBYX%,Y%b- YiM+Vx8SQb5U+b!b!VJyQs,X}uZYyP+kV+,XX5FY> q!VkMy s 4Xc!b!F*b!TY>" ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ 0000127387 00000 n MX[_!b!b!JbuU0R^AeC_=XB[acR^AsXX)ChlZOK_u%Ie 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 Two numbers are always positive if the product of both those numbers is positive. 0000055164 00000 n The conclusions obtained via inductive reasoning are only probable but not certain. *.L*VXD,XWe9B,ZCY}XXC,Y*/5zWB[alX58kD _b!b!b,Z@J,C?S^R)/Ir%D,B,Zzq!AF$VRr%t% +}y!AF!b!V:z@N T\?c|eXXo|JXX+"22'+Msi$b"b!b-8kei Vz+MrbVzz:'Pqq!b!b!+!b!bk2@4S^?JXX5 With inductive reasoning, the conjecture is supported by truth but is made from observations about specific situations. W+,XX58kA=TY>" This inductive method draws conjecture from similar qualities or features of two events. A similar Pattern: Conjecture: _____ Test: DISPROVING CONJECTURES Example 5 Show that the conjecture is false by finding a counterexample. cXB,BtX}XX+B,[X^)R_ 'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b!