Question:

A math class is implementing a method to calculate the nth term of a mathematical sequence. The sequence is defined as follows:

The first term is given by a, and each subsequent term is obtained by multiplying the previous term by a fixed ratio r.

Write a method named calculateNthTerm that takes in three parameters:

• a: an integer representing the first term of the sequence
• r: a double representing the fixed ratio between successive terms
• n: an integer representing the nth term in the sequence

The method should return the nth term of the sequence as a double.

You may assume that n is a non-negative integer.

Your task is to implement calculateNthTerm method.

Signature:

public static double calculateNthTerm(int a, double r, int n) {
    // your code here
}

Example:

Input:

calculateNthTerm(2, 3.5, 4);

Output:

42

Explanation:

Given, the first term a = 2, the fixed ratio r = 3.5, and we need to find the 4th term n = 4.

The sequence can be represented as (a, ar, ar^2, ar^3, ...).

So, the 4th term of the sequence is calculated as: a * r^(n-1) = 2 * (3.5)^(4-1) = 2 * (3.5)^3 = 42.