Question

What is the sum of a 7-term geometric series if the first term is 6, the last term is 24,576, and the common ratio is 4?

Answer 1

The sum is 32766.

Explanation:

The 7 terms of the series are as follows:

`n_i = 6\cdot 4^i\,\,\,\mbox{for}\,\,\, i=0,1,...,6`

namely: 6, 24, 96, 384, 1536, 6144, 24576

and their sum is 32766.