QUESTION $2$: $[30]$ A geometric series with $n$ number of terms is defined as follows, where $a$ is the first

term of the series, and $r$ is the common ratio:

$a,ar,a{r}^2,a{r}^{3}dotsa{r}^{n-1}$

Create a local function at the end of the script named "geoseries". Assume $a=r.$ "geoseries" function

has two outputs: $(1)$ all the elements in a geometric series and $(2)$ its sum. Your function will receive two

integer arguments. The first input specifies the initial value of the series $($i$.$e$.$ a$)$ and the second input

specifies the number of terms in the series $($i$.$e$.n).$ You should include a comment section in your script

that describes the function. For example, in the Command Window, when the function "geoseries" is

called:

$[$output$,$ sum$]=$ geoseries $(2,4)$

output $=$

$2,4,8,16$

sum $=$

$30$

because $2+4+8+16$

In vour script, test your function by writing a script that prompts the user for the input values using the

"input" function in MATLAB so that MATLAB will display the following:

Enter the initial value: $2$

Enter the number of terms: $4$

$($red text indicates what the user will enter$)$

You should use one of the output statements discussed in the lecture to output the sum of the series:

The sum is: $30$

You should test your function by inputting different input values to ensure that the function works properly.

Note: any MATLAB built$-$in functions $($except sum$())$ and conditional statements $($if$-$else

statement, for and while loops$)$ are NOT allowed in this question.