sequences and series - comparison or limit comparison test..?

I need to determine whether the series converges or diverges using either the comparison test or the limit comparison test. Given the nth power, i was thinking I would use the limit comparison test, but that left me with the sin(n) still afterwards, is that ok? what should I do next?

$$\sum_{n=1}^\infty {7*3^{n+1}(3+sin(n)) \over 5^n}$$