What can you say about the series an in each of the following cases?

(a) lim n → [infinity] an+1 an = 4 absolutely convergent conditionally convergent divergent cannot be determined
(b) lim n → [infinity] an+1 an = 0.5 absolutely convergent conditionally convergent divergent cannot be determined.

8.75

how-to:

first, we need to find what we have to work with.

since i know that we have 7 (years) and 0.8 (inches), we can use these to solve and find the equation!

secondly, what you want to do, is see that we need to know how much growth out of the 0.8 inches he got in only 1 year, instead of 7 years.

let's try to divide.

7 ÷ 0.8 = 8.75

yes, whats the problem?