Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 50C

Explanation of Solution

Given:

It is given that F(n) is Ω((3/2)n).

Proof:

Base step:

Let us take the base case, it is given that F(n) = Ω((3/2)n).

When n=1, take the left hand side of the given function which is F(1)= 1 and the right side of the (3/2)1=1.

Thus, both the sides are equal in the base case. Therefore, in base case it is proved that F(n) = Ω((3/2)n).

Induction step:

Let us assume that 2 and the given condition is true for all n=1, 2, … k. Then,

fk+1fk+fk-1

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