When looking at this code making recursive calls, how would I identify how many recursive calls are being made?
When looking at this code making recursive calls, how would I identify how many recursive calls are being made?
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
Problem 1PE
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When looking at this code making recursive calls, how would I identify how many recursive calls are being made?

Transcribed Image Text:### Recursive Method Analysis
#### Problem Statement:
How many recursive calls does the following method contain?
#### Method Definition:
```java
public static int multiplyEvens(int n)
{
if (n == 1) {
return 2;
} else {
return 2 * n * multiplyEvens(n - 1);
}
}
```
#### Answer Options:
- ☐ 0
- ☐ 2
- ☑ 2*n
- ☐ 1
### Explanation:
The method `multiplyEvens` is a recursive function designed to compute the product of the first `n` even numbers. The function continues to make a recursive call with the parameter `n-1` until it reaches the base case where `n == 1`.
For `n = 1`, the function directly returns 2 without further recursive calls. However, for any `n > 1`, the function calls itself with a decremented value of `n`, thus the total number of recursive calls depends linearly on `n`.
The correct response indicating the number of recursive calls is `2*n`, which corresponds to the recursive depth of the function's execution path.
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