+0

-1
97
2
+108

The sum of the first $n$ terms in the infinite geometric sequence $\left\{\frac{1}{4},\frac{1}{8},\frac{1}{16},\dots \right\}$ is $\frac{255}{512}$. Find $n$.

Aug 29, 2020

#1
0

n = 18.

Aug 29, 2020
#2
0

The sequence is:

1/4, 1/8, 1/16, 1/32, 1/64, 1/128, 1/256, 1/512 = 255 / 512

So, n = 8

Aug 29, 2020