Question

The common ratio in a geometric series is 4 and the first term is 3.

Answer 1

Answer:

The sum of the first 8 terms in the series is 65535.

Step-by-step explanation:

We have,

The common ratio in a geometric series, r = 4

First term of GP is, a = 3

It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :

$S_n=\dfrac{a(r^n-1)}{r-1}, r>1$

Here, n = 8

$S_8=\dfrac{3\times ((4)^8-1)}{4-1}\\\\S_8=65535$

So, the sum of the first 8 terms in the series is 65535.