+865 Find the fifth term of the geometric sequence with first term 2 and second term 1/4.
Use the formula for the nth term of a GS:
Nth term =First term x Common ratio^(Term number - 1)
1/4 = 2 x R^(2 - 1)
1/4 = 2 x R^1
Divide both sides by 2
(1/4) / 2 = R
1 / 8 = R, or:
R = 1 / 8 - Common ratio
5th term =First term x Common ratio^(term number - 1)
5th term = 2 x (1 /8)^(5 - 1)
5th term = 2 x (1/8)^4
5th term = 2 x 1 / 4096
5th term = 2 /4096 = 1 / 2048
