Write a C++ program for the given instructions: Summary Suppose that the first number of a sequence is x, where x is an integer. Define: a0 = x; an+1 = an / 2 if an is even; an+1 = 3 X an + 1 if an is odd. Then there exists an integer k such that ak = 1. Instructions Write a program that prompts the user to input the value of x. The program outputs:

Write a C++ program for the given instructions: Summary Suppose that the first number of a sequence is x, where x is an integer. Define: a0 = x; an+1 = an / 2 if an is even; an+1 = 3 X an + 1 if an is odd. Then there exists an integer k such that ak = 1. Instructions Write a program that prompts the user to input the value of x. The program outputs:

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section4.2: The If-else Statement

Problem 3E

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Summary

Suppose that the first number of a sequence is x, where x is an integer.

Define:

a₀ = x; a_n+1 = a_n / 2 if a_n is even;
a_n+1 = 3 X a_n + 1 if a_n is odd.

Then there exists an integer k such that a_k = 1.

Instructions

Write a program that prompts the user to input the value of x.

The program outputs:

The numbers a₀, a₁, a₂, . . . , a_k.
The integer k such that a_k = 1

(For example, if x = 75, then k = 14, and the numbers a₀, a₁, a₂, ..., a₁₄, respectively, are 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1.)

Test your program for the following values of x: 75, 111, 678, 732, 873, 2048, and 65535.

Process by which instructions are given to a computer, software program, or application using code.

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