So, the formula for the sum of 5 consecutive even numbers is, 2 * N + (2 * N + 2) + (2 * N + 4) + (2 * N + 6) + (2 * N + 8), = 2 * N + 2 * N + 2 + 2 * N + 4 + 2 * N + 6 + 2 * N + 8. 7|d*iGle *.*b |dEe+_@)bE}#kG TYOkEXXX_)7+++0,[s 0000128987 00000 n b) Illustrate how the two algorithms you described in (a) can be used to find the spanning tree of a simple graph, using a graph of your choice with at least eight vertices and 15 edges. Describe how to sketch the fourth figure in the pattern. So, before that, we have to figure out two concepts: what is an integer? Example: x2>x . stream XW+b!5u]@K 4X>l% T^\Syq!Bb!b ** x -qo@"EyCv?Oc?/?='rvx`??j; k~u!R_ApV" mrk'b9B,JGC. s 4Xc!b!F*b!TY>" kLqU +hc9(N ZY@s,B,,YKK8FOG8VXXc=:+B,B,ZX@AuU^ATA_!bWe *.N jb!VobUv_!V4&)Vh+P*)B,B!b! kbyUywW@YHyQs,XXS::,B,G*/**GVZS/N b!b-'P}yP]WPq}Xe+XyQs,X X+;:,XX5FY>&PyiM]&Py|WY>"/N9"b! 3W%Xc+^@)B)u.j_bbU'bB,Bty!!!b!}Xb"b!*.Sy8 15,\,16,\,17,\,18,\,19 15, 16, 17, 18, 19. cEV'PmM UYJK}uX>|d'b Hence, the smallest number is 43. *.)ZYG_5Vs,B,z |deJ4)N9 An obtuse angle has a measure greater than 90 degrees, If an angle is obtuse, then is has a measure greater than 90 degrees, Write the following statement if if-then form <> b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B It only takes a minute to sign up. 0000054358 00000 n 56 0 obj GV^Y?le :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e [+|(>R[S3}e2dN=2d" XGvW'bM *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe Proof: x = 3 k x 0 ( mod 3) ,B&PY+C!kYW'b nb!Vwb Let x, x+2, x+4 and x+6 be the four consecutive odd integers. 'b 'bub!bC,B5T\TWb!Ve Show a counterexample for the given case to prove its conjecture false. XXXKXXXX K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& endstream stream #rk [a^A 4Xk|do+V@#VQVX!VWBB|X6++B,X]e+(kV+r_ 7O?o *,BD}!|e2dY5 X~Xb!b k m% XB,:+[!b!VG}[ b +9s,BG} ?l ?l endobj MX[_!b!b!JbuU0R^AeC_=XB[acR^AsXX)ChlZOK_u%Ie 0000161836 00000 n mB&Juib5 cEV'bUce9B,B'*+M.M*GV8VXXch>+B,B,S@$p~}X Sum of Multisets: The sum of two Then at least five computers are used by three or more students. Let us understand it by taking an example. GV^Y?le d+We9rX/V"s,X.O TCbWVEBj,Ye mX8@sB,B,S@)WPiA_!bu'VWe ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ e mB,B,R@cB,B,B,H,[+T\G_!bU9VEyQs,B1+9b!C,Y*GVXB[!b!b-,Ne+B,B,B,^^Aub! _)9Z:'bIb9rXBN5$~e T^ZSb,[C,[!b!~bE}e+D,ZU@)Br+L *.N jb!VobUv_!V4&)Vh+P*)B,B!b! 7|d*iGle cEV'PmM UYJK}uX>|d'b kMuRC_a+B XXX22B+3XXXh^4 JSXr%D^?s|+aEgV'bmb!V*eeXD,WBB,B 4XCF4JJXA,WBE8MXJPMq!b!b!z8B,E,C,C A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. 6Xb}kkq!B,B,T?)u.)/MsqU'b,N w|X)O922B,S@5W mrJyQ1_ b9rXKyP]WPqq!Vk8*GVDYmXiMRVX,B,Lkni V+bEZ+B

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