The third term of a G.P is 24 and the sum of the first two terms is 288. If all the terms are positive,find

a)the first term and the common ratio
b)the sum of all the terms from 4th term to the 8th term

1 answer

ar^2 = 24
a + ar = 288

so, we have

r^2 = 24/a
a + a√(24/a) = 288

a = 216
r = 1/3

(b) you want S8-S3, so just plug in your formula for
Sn = a(1-r^n)/(1-r)