A pentagonal number is defined as n(3n−1) ∕ 2 for n = 1, 2, . . ., etc.. 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 getPentagonalNumber(int n) For example, getPentagonalNumber(1) returns 1 and getPentagonalNumber(2) returns 5. In Java, Write a test program that uses this method to display the first 100 pentagonal numbers with 10 numbers on each line. Numbers are separated by exactly one space.

Q3. Create two methods: one that will reverse the order of the digits in an integer and a second determines if a number is a palindrome (i.e. reads the same front to back) using the following method headers. // Method 1: Takes in an integer and reverses it, e.g., reverse(456) returns 654 public static int reverse(int number) // Method 2: Takes in an integer and returns true if it is a palindrome. Use the reverse method you just wrote to implement this method. public static boolean isPalindrome(int number) Create a test program that asks the user to input an integer and provides feedback on whether the integer is a palindrome or not. Hint: To find the reverse number, use one of the following approaches: • Modify your numerical inputs to a string, then use a for loop to reverse the characters with string concatenation and the charAt() method. Retrieve individual digits and combine them in reverse order using the / and % operators, using ten as a divisor. Combine the digits with either…

Write a method that takes a RegularPolygon as a parameter, sets its number of sides to a random integer between 10 and 20 inclusive, and sets its side length to a random decimal number greater than or equal to 5 and less than 12. Use Math.random() to generate random numbers. This method must be called randomize() and it must take an RegularPolygon parameter. You can call your method in the program's main method so you can test whether it works, but you must remove or comment out the main method before checking your code for a score. You will also need to make sure you do not remove the import statement "import testing.Math" as this is required to check your code for a score.

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

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Create a method that takes a value and indicate whether it is positive or negative by a return aBoolean value.Declared as: boolean is Positive (float a) in java