In a Collatz sequence, all of its terms are positive integers which satisfy the following recursive formula an=0.5an−1 if an−1 is even an=3an−1+1 if an−1 is odd Directions: Given an initial term implement a Collatz sequence, and find its length. Input: a1 Output: the length of the Collatz sequence Don't use some sort of menu loop to get user input

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
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In a Collatz sequence, all of its terms are positive integers which satisfy the following recursive formula

an=0.5an−1 if an−1 is even

an=3an−1+1 if an−1 is odd

Directions: Given an initial term implement a Collatz sequence, and find its length.
Input: a1
Output: the length of the Collatz sequence

Don't use some sort of menu loop to get user input

 

 

Expert Solution
Step 1

The Algorithm of the code:-

1. Begin 
2. Initialize sequence_length = 1, 
3. Input the initial term a1.
4. Print “Terms of the sequence are:”
5. While n is not equal to 1, do the following
          a. Increment sequence_length by 1
          b. Print n
          c. If n is odd, 
              n = 3*n + 1
          d. Else if n is even, 
              n = 0.5*n
6. Print n and sequence_length
7. End

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