Question

Find the common difference of the arithmetic sequence shown 1/4 3/8 1/2

Answer 1

Each fraction can be rewritten with an 8 in the denominator //

1/4 -> 2/8

3/8 = 3/8

1/2 -> 4/8

From left to right, each fraction is increasing by 1/8.

Answer 2

Common difference, d
`=(1)/(8)`

Explanation:

Given: The sequence is arithmetic
`(1)/(4),(3)/(8),(1)/(2)`

`\text{First term, }a_1=(1)/(4)`

`\text{Second term, }a_2=(3)/(8)`

`\text{Third term, }a_3=(1)/(2)`

To find: Common difference, f

Common difference is equal to difference of second term minus first term.( Difference of any two consecutive term)

`\text{Common difference, }d=a_2-a_1=a_3-a_2`

`d=(3)/(8)-(1)/(4)`

`d=(3-2)/(8)`

`d=(1)/(8)`

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