The sum of all numbers from 1 to 10 can be expressed as:

10

i = 1+2+3+4+5+6+7+8+9+10=55

i=1

Note that 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 +9 + 10 is the same as 10 + 9 + 8 + 7+6 + 5 + 4 + 3 + 2 + 1. Write a recursive function that computes the summation of all number up to n , where n is provided by the user.

Sample inputs/outputs:

Enter a positive integer number:10

The sum of all numbers from 1 to 10 = 55

Enter a positive integer number: 100

The sum of all numbers from 1 to 100 = 5050

Please use C language only and not Java or C++

You are now also allowed to use the following as well as previous techniques

function prototypes

functions

Full math.h library

Random functions rand() and srand()

Seed random number generator with and time()

Recursion!