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

Transcribed Image Text:### 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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