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Home » Question: Compute $ \sum_n=1^50 \frac1n(n+2) $. - Get link 4share

Question: Compute $ \sum_n=1^50 \frac1n(n+2) $. - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 What is the derivative of \( f(x) = 3x^3 - 5x^2 + 2x - 7 \) at \( x = 1 \)?

📌 Evaluate at \( x = 1 \):

📌 \[ f'(1) = 9(1)^2 - 10(1) + 2 = 9 - 10 + 2 = 1 \]

📌 The sum of an infinite geometric series with first term \( a = 4 \) and common ratio \( r = rac{1}{2} \) is:

📌 The sum is \( S = rac{a}{1 - r} = rac{4}{1 - rac{1}{2}} = rac{4}{rac{1}{2}} = 8 \).

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