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.