Question

Find the common difference for the sequence shown

1/4, 5/16, 3/8,....

a. 1/2
b. 1/4
c. 1/16

Answer 1

The common difference is 1/16

Explanation:

The given sequence is linear. This means that it is an arithmetic sequence. In an arithmetic sequence, each successive term differ by a common difference. The given set of numbers is

1/4, 5/16, 3/8,....

The second term - the first term = the third term - the second term

The common difference would be

5/16 - 1/4 = 3/8 - 5/16 = 1/16