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Home » Find $ \lim_n \to \infty a_n $. - All Square Golf

Find $ \lim_n \to \infty a_n $. - All Square Golf

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 So smallest integer is n − 1 ≈ 10.874 → not integer — contradiction.

📌 But problem implies integer exists. Recheck: perhaps typo in setup?

📌 Wait — maybe three consecutive integers — let’s suppose the middle one is x. Then:

📌 No integer solution. But 434 is close — perhaps intended sum is 434? But problem says 425.

📌 Wait — perhaps miscalculation in addition.

📌 Try n = 11: 10²=100, 11²=121, 12²=144 → 100+121=221+144=365

📌 n = 12: 121+144+169=121+144=265+169=434

📌 n = 13: 144+169+196=509 — too big.

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