Write an explicit formula for the sequence and use it to find the eleventh teen in the sequence.

Given:

The sequence is 2, 4, 8, 16,... .

To find:

The explicit formula for the sequence and use it to find the eleventh teen in the sequence.

Solution:

We have,

2, 4, 8, 16,...

It is a GP because the ratio between two consecutive terms are same..

Here,

First term:

Common ratio:

The explicit formula of GP is:

Putting , we get

Put n=11 to find the 11th term of the given sequence.

Therefore, the correct option is D.