Question

The nth term of a different arithmetic sequence is `3n+5`. Is 108 a term of this sequence?

Answer 1

No

Explanation:

Since `n` represents the number of the term in the sequence, it has to be a whole number, since we can't have a "3.5th" member. So the question becomes whether `3n+5=108` generates a whole number for `n`.

`3n+5=108`

`3n=108-5`

`3n=103`

`n=103/3`

`n=34.33333333`

So, the answer, since the n for 108 is not a whole number, is that 108 is not a member of the sequence.