How to wirte these all to fit inthe same project/program in java (taking a intro to programming class)

Problem 6.1

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

public static int getPentagonalNumber (int n)

For example, getPentagonalNumber (1) returns 1 ans getPentagonalNumber (2) returns 5. Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line. Use the %7d format to display each number.

6.2 Sum the digits in an integer

Write a method that computed the sum of the digits in an integer. Use the following method header:

public static int sumDigits(long n)

For example, sumDigits(234) returnd 9 (=2+3+4). (Hint: use the % operator to extract digits and the / operator to remove the extracted digit. For istance, to extract 4 from 234, use 234 % 10 (=4). To remove 4 from 234, use 234 / 10 (=23). Use a loop to repeatedly extract and remove the digit until all the digits are extracted. Write a test program that prompts the user to enter an integer then displays the sum of all its digits.

6.5 Sort three numbers

Write a method with the following header to display three numbers in increasing order:

public static void displaySortedNumbers(

double num1, double num2, double num3)

Write a test program that prompts the user to enter three numbers and invokes the method to display them in increasing order.