Exercise $1\mathrm{.}6$

a$.$ Recall that a geometric sequence is a sequence of the form $a,ar,a{r}^2,a{r}^3,$dots. At the MATLAB command prompt $($not in an M$-$File$),$ create a for loop that prints the first seven terms of this sequence when $r=\frac{1}{3}$ and $a=1.$ Include the output in your Word document.

b$.$ Create a new M$-$File named "geomSeq" with the loop above. Be sure to test it to make sure it works! Include the code for your M$-$File in your Word document.

c$.$ Modify your M$-$File so that it accepts the value of $r$ as an argument. Use this to find the first seven terms of the geometric sequence when $r=\frac{1}{4}.$ Include the code that defines the function geomSeq in your Word document. Include also the output and the code you used in the command window.