The 3rd and 6th terms of a geometric progression are 8 and 64 respectively. Find the value of the 9th term
F * R^2=8, F * R^5=64, solve for F, R F = 2 - This is the first term R = 2 - This the common ratio. 9th term =2 * 2^(9 - 1) =2 * 2^8 = 512 - the 9th term.