sum n=1 to Infinity (9)^n-1/2^n, converges or diverges

sum n=1 to Infinity (9)^n-1/2^n, converges or diverges

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\[\sum_{n=1}^{\infty} (9)^(n-1)/2^n\]

Assuming that's
9^(n-1)/2^n
it diverges.
The numerator far outpaces the denominator as n increases.

what kind of method or test should I use for this question?

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