### Recursive Method AnalysisConsider the following recursive method:```javapublic int recursiveMethod(int n){ if (n <= 0) { return 0; } else { int smaller = n - 1; return recursiveMethod(smaller) + n * (n - 1); }}```**Problem Statement:**What is the integer return of a call `recursiveMethod(5)`?- 36- 39- 40- 44**Explanation:**This method is a recursive function that operates as follows:- If `n` is less than or equal to 0, return 0.- Otherwise, calculate `smaller` as `n - 1` and return the result of `recursiveMethod(smaller)` plus `n * (n - 1)`.To solve for `recursiveMethod(5)`, the function calls itself with decreasing values until it hits the base case, adding the computed product `n * (n - 1)` at each step:- `recursiveMethod(5)` calls `recursiveMethod(4) + 5 * 4`- `recursiveMethod(4)` calls `recursiveMethod(3) + 4 * 3`- `recursiveMethod(3)` calls `recursiveMethod(2) + 3 * 2`- `recursiveMethod(2)` calls `recursiveMethod(1) + 2 * 1`- `recursiveMethod(1)` calls `recursiveMethod(0) + 1 * 0`- `recursiveMethod(0)` returns 0Calculating from bottom up:- `recursiveMethod(1) = 0 + 1 * 0 = 0`- `recursiveMethod(2) = 0 + 2 * 1 = 2`- `recursiveMethod(3) = 2 + 3 * 2 = 8`- `recursiveMethod(4) = 8 + 4 * 3 = 20`- `recursiveMethod(5) = 20 + 5 * 4 = 40`Therefore, the correct answer is:- **40**

a recursion is a technique in which function calls itself till it reaches terminating condition to…

er the following recursive method: public int recursiveMethod (int n) if (n <= 0) return 0; else int smaller = n - 1; return recursiveMethod (smaller) + n * (n - 1) What is the integer return of a call recursiveMethod (5)?

er the following recursive method: public int recursiveMethod (int n) if (n <= 0) return 0; else int smaller = n - 1; return recursiveMethod (smaller) + n * (n - 1) What is the integer return of a call recursiveMethod (5)?

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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Question

### Recursive Method Analysis

Consider the following recursive method:

```java
public int recursiveMethod(int n)
{
if (n <= 0)
{
return 0;
}
else
{
int smaller = n - 1;
return recursiveMethod(smaller) + n * (n - 1);
}
}
```

**Problem Statement:**

What is the integer return of a call `recursiveMethod(5)`?

- 36
- 39
- 40
- 44

**Explanation:**

This method is a recursive function that operates as follows:
- If `n` is less than or equal to 0, return 0.
- Otherwise, calculate `smaller` as `n - 1` and return the result of `recursiveMethod(smaller)` plus `n * (n - 1)`.

To solve for `recursiveMethod(5)`, the function calls itself with decreasing values until it hits the base case, adding the computed product `n * (n - 1)` at each step:
- `recursiveMethod(5)` calls `recursiveMethod(4) + 5 * 4`
- `recursiveMethod(4)` calls `recursiveMethod(3) + 4 * 3`
- `recursiveMethod(3)` calls `recursiveMethod(2) + 3 * 2`
- `recursiveMethod(2)` calls `recursiveMethod(1) + 2 * 1`
- `recursiveMethod(1)` calls `recursiveMethod(0) + 1 * 0`
- `recursiveMethod(0)` returns 0

Calculating from bottom up:
- `recursiveMethod(1) = 0 + 1 * 0 = 0`
- `recursiveMethod(2) = 0 + 2 * 1 = 2`
- `recursiveMethod(3) = 2 + 3 * 2 = 8`
- `recursiveMethod(4) = 8 + 4 * 3 = 20`
- `recursiveMethod(5) = 20 + 5 * 4 = 40`

Therefore, the correct answer is:

- **40**

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