Answer
See below
Work Step by Step
We have $l_1=16\\l_n=16(0.9)^{n-1}$
Since the ratio is less than 1, the length will be finite.
Obtain: $\sum^{\infty}_{i=0}16(0.9)^i=\frac{a}{1-r}=\frac{16}{1-0.9}=160$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.