Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
Expert Solution & Answer
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Chapter 4, Problem 39C

Explanation of Solution

Given:

It is given that i=1ni2i<2

Proof:

Let us prove the above case by induction steps.

Base case: Let us assume that the “n” value is “0”. Substitute the value in the given integral results in:

S=i=10121<2

Thus, from the above integral the value of “S” is less than 2.

Induction case:

In induction case, take the following summation:

S=(i=1n12i)+(i=2n(i1)2i

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Data Structures and Algorithms in Java

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