Question

Find the sum of the first 888 terms in the following geometric series.

Do not round your answer.
2+8+32+...2+8+32+...

Answer 1

The sum of 8 terms is 43,690.

Explanation:

What of series?

A series is the cumulative sum of a given sequence of terms.

Given:

2+8+32+...

a=2. r= 4

So, the sum of 8 terms

Sn = a(r^n - 1) / (r - 1),

S8 = 2( 65536 -1)/ (4-1)

S8= 65535*2/

S8 = 43690.