Question

Find the common difference of the sequence shown 1/6, 1/4, 1/3

Answer 1

1/4 - 1/6 = (6-4)/24 = 2/24 = 1/12
1/3 - 1/4 = (4-3)/12 = 1/12

Answer 2

Common difference of the sequence is =
`(1)/(12)`

Explanation:

Common difference of any sequence is defined by the difference between a term and its successive term.

Sequence is
`(1)/(6), (1)/(4),(1)/(3).....`

Common difference =
`T_(2)-T_(1)=(1)/(4)-(1)/(6)`

=
`(2)/(24)`

=
`(1)/(12)`

Now we will do the same for
`T_(3)` and
`T_(2)`

`T_(3)-T_(2)` =
`(1)/(3)-(1)/(4)`

=
`(4-3)/(12)`

=
`(1)/(12)`

Therefore, answer is
`(1)/(12)`