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*an +1 if an is odd. Then there exists an integer K such that ak=1. Write a Program that prompts the user to input the value of x. The program outputs the integer K such that ak=1 and the numbers a0, a1, a2,……….., ak.. (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. ) Enhance your program from part a by outputting the position of the largest number and the largest number of the sequence a0, a1, a2,……….., ak.. (For example, the largest number of the sequence 75,226,113,340,170,85,256,128,64,32,16,8,4,2,1 is 340 and its position is 4. )

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*an +1 if an is odd. Then there exists an integer K such that ak=1. Write a Program that prompts the user to input the value of x. The program outputs the integer K such that ak=1 and the numbers a0, a1, a2,……….., ak.. (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. ) Enhance your program from part a by outputting the position of the largest number and the largest number of the sequence a0, a1, a2,……….., ak.. (For example, the largest number of the sequence 75,226,113,340,170,85,256,128,64,32,16,8,4,2,1 is 340 and its position is 4. )

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 15PE

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