Write a program to show how quickly the infinite sum below (an expression of Zeno's paradox) converges to 1. The sum is expressed as follows: sigma_n = 1^infinity (where n = 1, 2, 3, ...) Prompt the user to enter the number of terms (between 10 and 25 inclusive) to be used in the approximation. Use a for loop to calculate each term in the sum and while doing so, to print a table. Each line of the table should include the term (value of n) number, the value of the term added to the sum at that iteration accurate to 6 decimal digits, and the value of the sum at that iteration also printed with 6 decimal digits. Use doubles for the term and sum approximation values