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15) n(n²+5) is divisible by 6 for each integer nzo Proof (ay induction) P(O)= "o (o?+5) is divisible by 6"? 610-0 6.0 = 0 v P(K) > P(K+1) : Let KE Z ak20. Assume PCK) is true "K (K²+5) is divisible by that is, So this mean that 6d = k(K²+5) for some %3D integer d. by definition NTS: kti(K+)+5) is divisible by G divisibility of Now, ktl

15) n(n²+5) is divisible by 6 for each integer nzo Proof (ay induction) P(O)= "o (o?+5) is divisible by 6"? 610-0 6.0 = 0 v P(K) > P(K+1) : Let KE Z ak20. Assume PCK) is true "K (K²+5) is divisible by that is, So this mean that 6d = k(K²+5) for some %3D integer d. by definition NTS: kti(K+)+5) is divisible by G divisibility of Now, ktl

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you help me solve the rest of this proof and also prove why ((k(k+1)) / 2 is an integer?
15) n(n*+5) is divisible by 6 for each integer Proof (ay induction) P(O)= "o (o?+5) is divisible by 6"? 610 =0 Since 6.0=0 V P(K) > P(K+i: Let KE 2əkzo. Assume "K (K?+5) is divisible by 6' PCK) is true that is, So this mean that 6d = k(K²+5) for some int gger of divisi bility d. by definition (NTS: k+i(K)+5) is divisible by G Now,
Transcribed Image Text:15) n(n*+5) is divisible by 6 for each integer Proof (ay induction) P(O)= "o (o?+5) is divisible by 6"? 610 =0 Since 6.0=0 V P(K) > P(K+i: Let KE 2əkzo. Assume "K (K?+5) is divisible by 6' PCK) is true that is, So this mean that 6d = k(K²+5) for some int gger of divisi bility d. by definition (NTS: k+i(K)+5) is divisible by G Now,
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