The geometric mean of n positive numbers x$1,...,$ xn is given by

n

$$

$$

$$

$$ n$$

i$=1$

xi$.$

This quantity can be computed in a running fashion similar to a running sum, but

using multiplication instead, by computing the product of the values in the radical

using a running product. By doing this, you can easily produce geometric mean values

as new numbers are discovered.

geo$\_$mean Function:

Input variables:

$$ none

Keyboard inputs$/$screen outputs:

$$ prompts the user $4$ times for separate numbers and after each number

outputs the geometric mean of the numbers so far

Output variables:

$$ a vector of the $4$ numbers input

A possible sample case is:

$>>$ nums $=$ geo$\_$mean$()$

Enter a number: $1$

The geometric mean after $1$ numbers is $1\mathrm{.}000000.$

Enter a number: $2$

The geometric mean after $2$ numbers is $1\mathrm{.}414214.$

Enter a number: $3$

The geometric mean after $3$ numbers is $1\mathrm{.}817121.$

Enter a number: $4$

The geometric mean after $4$ numbers is $2\mathrm{.}213364.$

nums $=$

$1234$

$3$