Question

How do you write the nth term rule for the sequence `-1,0,1,2,3,...`?

Answer 1

If the `n^"th"` term is written as `a_n`
and the first term `a_1=-1`
then
`color(white)("XXX")a_n=-2+n`

Explanation:

Alternately the initial term might be called the `0^"th"` (`a_0=-1`)
in which case `a_n=-1+n`