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.