Question 6: Write two versions of a program that reads a sequence of positive integers from the user, calculates their geometric mean, and print the geometric mean. Note: In mathematics, geometric mean of a dataset {a1, a2, a3 ..., an} is given by: "/a, 'a, ' az ** an- For example, the geometric mean of 2,9 and 12 is equal to 6 (V2 9 12 = 6). Your two versions of the program should read the integer sequence in two ways: a) First read the length of the sequence For example, an execution would look like: Please enter the length of the sequence: 3 Please enter your sequence: 2 The geometric mean is: 1.8171 b) Keep reading the numbers until done is entered. For example, an execution would look like: Please enter a non-empty sequence of positive integers, each one in a separate line. End your sequence by typing done: done The geometric mean is: 1.8171