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1. a) Suppose that f is defined recursively by: f(0) = 5 and f(n + 1) = 2fn + 5. Find f(1), f(2), f(3) and f(4)? b) For which positive integer n is it true that 2^n > n^3? c) Prove your answer in (b) above using mathematical induction.

1. a) Suppose that f is defined recursively by: f(0) = 5 and f(n + 1) = 2fn + 5. Find f(1), f(2), f(3) and f(4)? b) For which positive integer n is it true that 2^n > n^3? c) Prove your answer in (b) above using mathematical induction.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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1. a) Suppose that f is defined recursively by: f(0) = 5 and f(n + 1) = 2fn + 5. Find f(1), f(2), f(3) and f(4)?


b) For which positive integer n is it true that 2^n > n^3?

c) Prove your answer in (b) above using mathematical induction. 


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

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