For each of the problems below state the purpose in your own words, specify input that is needed, expected output, and the step by step process that will obtain the output from the input (the algorithm). In addition to these 4 items also specify test data that can be used to all the scenarios described for each problem. Problem 1: Create a process that will calculate the series 1 + x + x2 + x3 + x4 . + xn where x is a floating point number and n is a positive number. You process should be designed so exponentiation (or the pow function in C++) is not needed.