Question

Find the common difference of the arithmetic sequence shown.

1/4,3/8, 1/2...

A) 1/16
B)1/8
C)1/4

Answer 1

1/8

Explanation:

To find the common difference, subtract the first term (1/4) from the second term (3/8); it's 1/8. Notice that if you subtract 3/8 from 1/2 as a check, you obtain 1/8 again.

Answer 2

Option B is correct.

The common difference of the arithmetic sequence is,
`(1)/(8)`

Explanation:

Common difference(d) states that take any pair of successive numbers, and subtract the first from the second.

Given the arithmetic sequence:

1/4 , 3/8, 1/2...

⇒
`(a_1)` = 1/4,
`a_2 = (3)/(8)` ,
`a_3 = (1)/(2)` and so on..

By definition of common difference

`a_2 -a_1 = (3)/(8)-(1)/(4) = (3-2)/(8) = (1)/(8)`

`a_3 -a_2= (1)/(2)-(3)/(8) = (4-3)/(8) = (1)/(8)` and so on..

⇒
`d = a_2-a_1 = a_3-a_2=.....= (1)/(8)`

Therefore, the common difference of the arithmetic sequence is,
`(1)/(8)`