Other questions and answers in February 2020 — Page 158

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Define K (0) = 0, K (1) = 12 , and K (n) = 9(K (⌊n/3⌋ − 1) + n^3 + 2n. Prove the fact that K(n) ≤ 3/2n^3 for all n ≥ 0, by direction of part (a) and (b). (a) First attempt to prove the fact...

I was doing practice problems and I'm stuck at this section. The first equation is balanced, after that I can't remember what to do. In the second one I remember multiplying something by 100 Il. (5 po...

I'm having trouble answering question 3. Could you help me figure it out?

Define K (0) = 0, K (1) = 12 , and K (n) = 9(K (⌊ n/3 ⌋ − 1) + n^3 + 2n. We will attempt to prove the fact that K(n) ≤ 3/2n^3 for all n ≥ 0, by direction of part (a) and (b). (a) First atte...