Objectives:

This assignment will assess your mastery of the following objectives:

Evaluate complex expressions that use multiple arithmetic operators.

Declare variables for specific purposes to store the values and cast their data types.

Use string concatenation to produce the informative output for statistical analysis.

Involve redundant tasks by using for loops according to the patterns.

Design parameterized methods to accept parameters and return a value from the methods as a result

Use the Math class to compute values using predefined common mathematical functions.

Follow prescribed conventions for spacing, indentation, naming methods, and header comments.

Rules and Explanations:

You will receive a grade of zero for using any built$-$in classes$/$methods beside Math methods

Pi Constant $()$:

$$ is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to $3\mathrm{.}14159.$ The number $$ appears in many formular across mathematics and physics. Your task is to implement the method pi that accept an integer $($int data type$).$ pi$($n$)$ should follow the Madhava of Sangamagrama formula and return a value based on the terms we provided in the summation. We assume that the input $n$ will always a positive value. The method should NOT print anything to console. Here is the examples: