public class Recursive{ public static void main(String[] args){ System.out.println("Summation of 5 System.out.println("Summation of 1 System.out.println("Summation of 10 System.out.println("Summation of 1 = System.out.println("Summation of 7 = "+summation(7)); "+summation(5)); "+summation(1)); '+summation(10)); "+summation(1)); System.out.println("The first position value in the Fibonacci Sequence is "+fibonacciSequence(1)); System.out.println("The third position value in the Fibonacci Sequence is "+fibonacciSequence(3)); System.out.println("The seventh position value in the Fibonacci Sequence is "+fibonacciSequence(7)); System.out.println("The twentith position value in the Fibonacci Sequence is "+fibonacciSequence(20)); } public static int summation(int n){ //TODO: Create a recursive method that will find the summation of n for all positive n return -1; } public static int fibonacciSequence(int positionN){ //TODO: Create a recursive method that will find the Nth position of the Fibonacci sequence return -1;

public class Recursive{ public static void main(String[] args){ System.out.println("Summation of 5 System.out.println("Summation of 1 System.out.println("Summation of 10 System.out.println("Summation of 1 = System.out.println("Summation of 7 = "+summation(7)); "+summation(5)); "+summation(1)); '+summation(10)); "+summation(1)); System.out.println("The first position value in the Fibonacci Sequence is "+fibonacciSequence(1)); System.out.println("The third position value in the Fibonacci Sequence is "+fibonacciSequence(3)); System.out.println("The seventh position value in the Fibonacci Sequence is "+fibonacciSequence(7)); System.out.println("The twentith position value in the Fibonacci Sequence is "+fibonacciSequence(20)); } public static int summation(int n){ //TODO: Create a recursive method that will find the summation of n for all positive n return -1; } public static int fibonacciSequence(int positionN){ //TODO: Create a recursive method that will find the Nth position of the Fibonacci sequence return -1;

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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Concept explainers

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

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## Java Recursive Methods Example

### Overview

Below is a Java class illustrating the use of recursion to solve two common problems: summation and finding a position in the Fibonacci sequence.

### Code Explanation

#### Class: Recursive

```java
public class Recursive {
public static void main(String[] args) {
System.out.println("Summation of 5 = " + summation(5));
System.out.println("Summation of 1 = " + summation(1));
System.out.println("Summation of 10 = " + summation(10));
System.out.println("Summation of 1 = " + summation(1));
System.out.println("Summation of 7 = " + summation(7));

System.out.println("The first position value in the Fibonacci Sequence is " + fibonacciSequence(1));
System.out.println("The third position value in the Fibonacci Sequence is " + fibonacciSequence(3));
System.out.println("The seventh position value in the Fibonacci Sequence is " + fibonacciSequence(7));
System.out.println("The twentieth position value in the Fibonacci Sequence is " + fibonacciSequence(20));
}

public static int summation(int n) {
//TODO: Create a recursive method that will find the summation of n for all positive n
return -1;
}

public static int fibonacciSequence(int positionN) {
//TODO: Create a recursive method that will find the Nth position of the Fibonacci sequence
return -1;
}
}
```

### Functional Description

1. **Main Method:**
- The `main` method demonstrates calls to two recursive methods which are intended to compute the summation of positive integers and to get the Nth position value in the Fibonacci sequence.

2. **Summation Method:**
- `public static int summation(int n)`
- Intended to create a recursive approach to calculate the summation of `n`, where `n` is a positive integer.
- Current implementation returns `-1` as a placeholder.

3. **Fibonacci Sequence Method:**
- `public static int fibonacciSequence(int positionN)`
- Meant to determine the Fibonacci sequence value at position `N` using recursion.
- Current implementation returns `-1` as a placeholder.

### Learning Objective

- This example is aimed at understanding the concept of recursion in Java programming. Recursive functions call themselves with different

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