Question

Tell whether the sequence is arithmetic. If it is identify the common difference 1/2, 1/3,1/4

Answer 1

For this case we have the following definition:

An arithmetic sequence is a sequence of numbers that increases or decreases by a constant amount each term.

Thus, to obtain
`(1)/(3)` it is necessary to subtract
`(1)/(2)` from the amount of
`(1)/(6)`.

To obtain
`(1)/(4)` it is necessary to subtract
`(1)/(3)` the amount of
`(1)/(12)`.

As it is observed, a constant quantity is not diminished since
`(1)/(6)` is not equal
`(1)/(12)`.

So, the sequence is not arithmetic

Answer:

The sequence is not arithmetic