Write a C++ program that computes an approximation of pi (the mathematical constant used in many trigonometric and calculus applications) to four decimal places. A summation that can be used to compute pi is the following (from calculus). pi = 4/1 - 4/3 + 4/5 - 4/7 + 4/9 - + (-1)ⁿ * 4/ (2n+1)Your program will compute a sequence of computations: S₀ = 4/1 S₁ = S₀ - 4/3 S₂ = S₁ + 4/5Since the above sequence So, S1, S2, ... converges to pi, we can stop when two consecutive S values differ by less than 0.00005.