Which number comes next in this series? 1/64, 1/32, 1/16, 1/8, 1/4, 1/2, ?

This is a geometric sequence, with the first term: 1/64

The common ratio is found through the ratio of the first two terms and the second and third term.



Since there is a common difference of 2, we can generalise this sequence to find the nth term:

a is the first term, r is the common ratio, and n is the nth term in the sequence.


Substituting n = 7, we get:




Thus, the next term in the sequence is 1.