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📅 May 2, 2026 👤 scraface

May 02, 2026

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Or Sₙ = 124 → n = 8
But as written: **No integer solution exists.
But for pedagogy: use approximate answer.
However, in high school level, expect integer.
Actually, double-check discriminant: 7² + 4×3×220 = 49 + 2640 = 2689,...
51² = 2601, 52² = 2704 → 2689 - 2601 = 88 → √2689 ≈ 51.85
So n ≈ ( -7 + 51.85 ) / 6 ≈ 7.475
So no integer n.
But if question is correct, answer is not integer — not suitable.
Therefore, correct the problem: suppose Sₙ = 98 → n = 7

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