Answer to Question #185950 in Discrete Mathematics for Framke

Question

a) Suppose that f is defined recursively by: and . Find f(1), f(2), f(3) and f(4)? [2 marks] b) For which positive integer n is it true that 2n >n³ !?

c) Prove your answer in

(b) above using mathematical induction.

d) Give a recursive definition of the sequence {a_n}, n = 1, 2, 3… if a_n = 2ⁿ + 1

e) Use your definition in (d) above to find a₁₀, and a₁₅

f) Let A = {1, 2, {{1,2}}}. Find the power set P(A)

Answer 1

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