Consider the problem of computing the sum of the first n cubes: S(n) = 13 + 23 + … + n3. Design two algorithms as follows:Recursive algorithmNon-recursive algorithmAnalyze the time efficiency of your two algorithms and compare which is better.

Given function is, S(n)= 13 + 23 + … + n3 Recursive algorithm contains a function contains calling…

Answered: Consider the problem of computing the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Consider the problem of computing the sum of the first n cubes: S(n) = 1³ + 2³ + … + n³. Design two algorithms as follows:
1. Recursive algorithm
2. Non-recursive algorithm

Analyze the time efficiency of your two algorithms and compare which is better.

Expert Solution

Step 1

Given function is,

S(n)= 1³ + 2³ + … + n³

Recursive algorithm contains a function contains calling of same function in it. Where as Non recursive program means using loops like for loop, while loop etc. Non recursive algorithm is also called as Iterative algorithm.

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