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

### 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.
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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