1. You need to plan the program first. So create a file containing pseudocode for this program.

2. Your task is to write a C++ program which computes the approximation of by a series summation known as the MadhavaLeibniz series. A concise overview is provided on the following web link:

http://en.wikipedia.org/wiki/Leibniz

formula for pi The formula is given as follows:

= 4X k=0 (1)k 2k + 1

3.Your program should prompt the user for one integer, the largest value of the index k in the truncated (does not go to infinity) summation of the formula.

(a) NOTE: your program should demand that the value input be nonnegative. More specifically, it should continue to prompt for a value until an integer equal to or greater than 0 is entered. (b) The result should be displayed to at least 10 digits to the right of the decimal point.

(c) Your program will NOT use any specialized mathematical library functions such as pow().