Recent content by hobomath
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What Is the Sum of the Series \( \sum_{n=1}^\infty \frac{n}{(n+1)!} \)?
Find the sum of this series: $$ \sum_{n=1}^\infty \frac{n}{(n+1)!} $$ I'm really struggling with this one.. Any help will be highly appreciated. Thanks you. -
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Finding the decay constant k for a depreciation differential equation
Hey again, thanks you were a great help!Sorry for the lack of follow-up, but I'm glad I found the same answer as yours. It was truly helpful. -
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Finding the decay constant k for a depreciation differential equation
Hello MarkFL, thank you for the reply and the lead. I'm looking into the Newton's law of Cooling right now... I'll reply back if I find anything. -
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Finding the decay constant k for a depreciation differential equation
This is my first time tackling this kind of problem. 1. Let $Q$ be the percentage of what he remembers. 2. Let $t$ be the time in weeks. 3. Initial condition 1: $Q=0.95 $ and $t=0$ 5. Initial condition 2: $Q=0.80 $ and $t=1$ Now I'm stuck about finding the rate. From what I understand...