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

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