The first term of a geometric sequence is 125÷4,the last term is 2, and the sum of the associated series is 203÷4. What is the common ratio and how many terms are there in the series?

Answer 1

note that 2=8/4

(8/4)/(125/4) = (8/125) = (2/5)^3

Looks to me like r = 2/5 and there are 4 terms:

125/4, 25/2, 5, 2
the sum is 203/4