Determine whether the geometric series is convergent or divergent. $$sum_{n=1}^{infty} frac{5^n}{(-2)^{n-1}}$$ convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
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The general term of the series is given by: $5n(-2)^n$ We can rewrite this as: $5(-2)^{n-1}(-2)^1$ Now, we can see that the common ratio is $-2$. To determine if the series converges or diverges, we need to check the absolute value of the common ratio. If the Show more…
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