$$\sum_{n=1}^\infty \frac{5(-2)^n-3^{(n+1)}}{5^n}$$
tried using geometric series, but unable to factor out the constant due to the minus sign.
Also tried using ratio test but I got stuck halfway.
2026-03-28 18:02:40.1774720960
How do i find the limit of this sequence?
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It's $$5\sum_{n=1}^\infty\left(-{2\over5}\right)^n-3\sum_{n=1}^\infty\left({3\over5}\right)^n=5{-{2\over5}\over1-\bigl(-{2\over5}\bigr)}-3{{3\over5}\over1-{3\over5}}=\ldots$$