For this homework you will need to use the following:

$$ basic input and output,

$$ expressions, variables, and assignments,

$$ conditionals $($if$/$elif$/$else$),$ includes the use of nested conditional statements

$$ loops $($while $/$ for$)$

Do not use any of the following language constructs $($not an inclusive list$)$: break and

continue statements, lists, tuples, sets, string methods, string formatting, and functions.

Question $2($hw$4\_$q$2.$py$)$: 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 to four places. Each solution requires the use of loops $($you choose

which one is appropriate$).$

Note: In mathematics, geometric mean of a dataset $\{a_1,a_2,a_3,$cdots,$a_n\}$ is given by

$\sqrt[n]{a_1*a_2*a_3*...*a_n}.$ For example, the geometric mean of $\{2,9,12\}$ is equal to $6$

$(\sqrt[3]{2*9*12}=6).$

Your two versions of the program should read the integer sequence in two ways:

A$.$ First read the length of the sequence followed by the sequence itself. For

example, an execution would look like:

B$.$ Keep reading the numbers of the sequence until 'done' is entered by the user.

For example, an execution would look like:

Please enter a non$-$empty sequence of positive integers,

each one on a separate line. End your sequence by typing

done.

$1$

$2$

$3$

done

The geometric mean is: $1\mathrm{.}8171$