Discuss the convergence of the following series whose nth term is given below : 2^n-1/3^n+1?

You need to work on presentation. We use parentheses to show what acts on what, and you have several places that need them.

2^n - 1/3^n + 1
2^(n - 1)/3^n + 1
2^(n - 1)/3^(n + 1)
2^n - (1/3)^n + 1
2^n - (1/3)^(n + 1)

So which is it?