how do you know (-1)^n(1+4^n/1+3^n) is a geometric series?

how do you know (-1)^n(1+4^n/1+3^n) is a geometric series?

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\[(-1)^n\frac{1+4^n}{1+3^n}\]
? is that right?

yeah

idk how to prove that its a geometric series

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