Find the 10th term of this sequence

Question

1/16,1/4,1,4,...

Answer 1

This is a geometric sequence where each term is the previous term multiplied by 4.

 

The sequence continues as 1/16, 1/4, 1, 4, 16, 64, 256, 1024, 4096, 16384 so the 10th term is 16384

 

This sequence can be represented as 4^{(n - 3)} where n = {1, 2, 3, ... } is the nth term in the sequence.  

So 4^(10-3) = 4⁷ = 16384