Write recursive functions for the following equations:a. Harmonic number is defined by the equationb. Fibonacci numbers are defined by the formula:FN = FN-2 + FN-1, for N ≥ 2 with F0 = 0 and F1 = 1 3. Write recursive functions for the following equations:a. Harmonic number is defined by the equation1 1HN = 1 +5+ +2 3b. Fibonacci numbers are defined by the formula:+1NFN FN-2 + FN-1, for N≥ 2 with Fo = 0 and F₁ = 1

As the programming language is not mentioned here, we are using JAVA The JAVA code is given below…

3. Write recursive functions for the following equations: a. Harmonic number is defined by the equation 1 + = =+= 1/3/² +2+ b. Fibonacci numbers are defined by the formula: HN : + 1 N FN = FN-2 + FN-1, for N≥ 2 with Fo= 0 and F₁ = 1

3. Write recursive functions for the following equations: a. Harmonic number is defined by the equation 1 + = =+= 1/3/² +2+ b. Fibonacci numbers are defined by the formula: HN : + 1 N FN = FN-2 + FN-1, for N≥ 2 with Fo= 0 and F₁ = 1

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 15SA

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Concept explainers

Declaring and Defining the function

A set of statements, which performs a particular task is called a function. The program gains modularity by using function. The application is quite easy to understand, read, and edit when they are created with functions. The developer/programmer creates a function and uses main() to call the function. Once the function gets executed, the control is transferred to the main program.

Question

Write recursive functions for the following equations:
a. Harmonic number is defined by the equation
b. Fibonacci numbers are defined by the formula:
FN = FN-2 + FN-1, for N ≥ 2 with F0 = 0 and F1 = 1

3. Write recursive functions for the following equations:
a. Harmonic number is defined by the equation
1 1
HN = 1 +5+ +
2 3
b. Fibonacci numbers are defined by the formula:
+
1
N
FN FN-2 + FN-1, for N≥ 2 with Fo = 0 and F₁ = 1

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