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

If the ${n}^{\text{th}}$ term is written as ${a}_{n}$
and the first term ${a}_{1} = - 1$
$\textcolor{w h i t e}{\text{XXX}} {a}_{n} = - 2 + n$
Alternately the initial term might be called the ${0}^{\text{th}}$ (${a}_{0} = - 1$)
in which case ${a}_{n} = - 1 + n$