7. A function is defined for a positive integer n as follows: 3n+ 1, if n is odd f(n) = { if n is even Z

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Programming Language :- C
7. A function is defined for a positive integer n as follows:
3n + 1,
if n is odd
f(n) = {
n
if n is even
2
We consider the repeated application of the function starting with a given integer n, as follows:
f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start
from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5,
16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1.
Write a recursive function that takes n as an input number and returns how many times function
f has to be applied repeatedly to reach 1.
Transcribed Image Text:Programming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.
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