Quiz 1 - 2602Q1.nb Math 2602 Sept 5 Name a Sex Section...

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Unformatted text preview: 2602Q1.nb Math 2602 Sept 5 Name: a}? Sex Section —-Circle One: Jose Miguel Renom ,SfitLQILQn Q Dickerson > Carro Open Book and Notes. You have 50 minutes. Carefully explain your proceedures and answers I Problem 1 (10 Points) 11 Sammy Baugh would like you to show (forn 2 1) by induction that: 2 3k = k=0 ) 1 1+n E(—1+3 ) “Mina/K .Aggw‘fl % 3”: V2 L—ng‘w’) Fov all n}, {490 M Li Li /' / nu? l3 \3 VP?) LfO HO pmvc WL/K for (“H43 n“ \L — J’(—( +3|+(n+l)) HZ 3u+ 3n+l 1. iéil +3fl'2) £250 3 — Z “‘0 3 3“ é: H4”) '39“ " '3 L4 + 3“ 52% “ 3‘) I \4’0 1 -_ m”) = L— L-[ +3“ - on 'kgn‘?’> Mmmwm inpaM"; 13M ‘ ix: CLO L0 l +0 ) .A y n WWQWV J‘da ‘S a?” » “5“” was t WNW m Wt my WW“ WW" X 2602Q1.nb Math 2602 Sept 5 Nameflamh (iami'i-SQH Section —-Circle One: Jose Miguel Flenom Schellenber W arro Open Book and Notes. You have 50 minutes. Carefully explain your proceedures and answers I Problem 2 (10 points) Tommy Davis would like for you to show by induction (strong) that Tn S 3 n, Where To = 0, and Tn = TLn/6J + 2 Tut/9] + [1/3 \ What {(0) 5 O 3 3(0) . AssumPh‘éY‘ TU”) 33“ W ' Prove 1m: ETLEjiaT‘LQgJ kg;- s an ue Fol/6W “3‘ u 9 3 gqvn (ED. #6:)- a Zn g . TEE? ‘6 5&5 5: Twig pmvc? HMS 3m 90“ 6L“ n; ( \\/, 2602Q1sz 3 I Ans Math 2602 Sept 5 Name: 3 . Section --Circle ne: Jose Miguel Renom Schellen . IC erson Open Book and Notes. You have 50 minutes. Carefully explain your proceedures and answers I Problem 3 (10 points) Darren Bennet would like you to find a tournament with 5 teams that has exactly two or three (you choose which one, and say which one you choose) "real winners". Show enough so that the grader can follow what you do, and can easily verfiy the correctness of your answers. 6" A A L E B A» -> C 13 a c, esp / X A w B -> D e ~>c E" C \ / A913”? B—>e~>A eéAeB A D fleet WW6? lzcal WWW V 2a! Winner not wlflVflS £74002 (am i answcvj Ot/(oloa T (i) n 2 31 :5 (Vltkglavn) two 0 mm as Commie» @ fissumph‘ah 0-4 4 cu; é g“ —. 72 (,“i + 3"”) ’Poy fléi mg \3: a3 “"0 ®1>mvc fly nH I “4"! K .Lh;. I igt‘izévfig“ ') bio w: n 1H3 z 3“ + 3”“ v2 H +3”) \l—'—o r “M 0*! pH 10mm 1 OLKulnpfidh ‘/2 ’r 3 f «.33)— ‘53.; V D , a? a 2 1/7. L4+3”‘)+3M - + 8W4,le + .gn+‘ -gn*l : -‘/2 + 3"“ + 3““ g j a If ) a 5 W, 05 03814.1()» p'fi cm "/2 + 53”“ a 21-3"m \h’ (.14,3n*3\) ; L [ QMOQZ @ 5 ’rmmf 3 {cm wmntws cm Q ma wairmcrr Ccmld do‘-A—>B 8'56 C~>A AM) Bab CW b Fae" Ewe t: we: ran winner: D-‘JE of 6 «>5 Q/lo/oa "r ...
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Quiz 1 - 2602Q1.nb Math 2602 Sept 5 Name a Sex Section...

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