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Home » Or sum 224 for n=14. - Parker Core Knowledge

Or sum 224 for n=14. - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 But 155 is exact. Try factoring: no simple root.

📌 Wait: perhaps arithmetic sequence sum:

📌 But perhaps typo? Lets assume its solvable.

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a^3 + b^3 + c^3 = 3abc.
This completes the proof.
oxed{a^3 + b^3 + c^3 = 3abc}
Question: Compute $ \sum_{k=1}^{50} rac{1}{k(k+2)} $.
Solution: We evaluate the sum:
\sum_{k=1}^{50} rac{1}{k(k+2)}.
We use partial fractions:
rac{1}{k(k+2)} = rac{A}{k} + rac{B}{k+2}.
Multiply both sides by $ k(k+2) $:
= A(k+2) + Bk.

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