Please write it in C++

Write a program that computes the summation between 1 and a given number. For example, if the user inputs 5 the function should add 1 2+3+4 5, and return 15. The program should compute the summation in two different ways which are described below and compare if the functions produce the same result. 1. Write a function that computes the summation between 1 and a given number using a loop. 2. Write a function that computes the summation between 1 and a given number n using the following formula: .. I = (n (n + 1 ) )/2 Example of the execution: Input a number sing a loop, the result of the summation is: 15 sing Gauss' s formula, the result f the summation is 15 both mtehods give the same value