(Math: pentagonal numbers) A pentagonal number is defined as n(3n-1)/2 for n= 1,2, ..., and so on. Therefore, the first few numbers are 1, 5, 12, 22, .... Write a method with the following header that returns a pentagonal number: public static int getPentagona1Number(int n) Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line.

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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**6.1 (Math: pentagonal numbers)** 

A pentagonal number is defined as \( n(3n-1)/2 \) for \( n = 1, 2, \ldots \) and so on. Therefore, the first few numbers are 1, 5, 12, 22, \ldots. Write a method with the following header that returns a pentagonal number:

```java
public static int getPentagonalNumber(int n)
```

Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line.
Transcribed Image Text:**6.1 (Math: pentagonal numbers)** A pentagonal number is defined as \( n(3n-1)/2 \) for \( n = 1, 2, \ldots \) and so on. Therefore, the first few numbers are 1, 5, 12, 22, \ldots. Write a method with the following header that returns a pentagonal number: ```java public static int getPentagonalNumber(int n) ``` Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line.
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