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Home » Diesplate Alert! The Next Genshin Banner Drops Before You Can Even Breathe! - AMAZONAWS

Diesplate Alert! The Next Genshin Banner Drops Before You Can Even Breathe! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \( 180 = 5n(n+1) → n(n+1) = 36 → n² + n − 36 = 0 → n = [-1±√145]/2 — not integer.

📌 Try: Sₙ = 60, a=3, d=3

📌 \( 60 = \frac{n}{2}(6 + (n−1)3) = \frac{n}{2}(3n + 3) = \frac{3n(n+1)}{2} \)

📌 \( 120 = 3n(n+1) → n(n+1) = 40 → n ≈ 6.3 → n=6: 6×7=42>40, n=5:5×6=30<40 — no.

📌 n(n+1)=42 → n=6: 6×7=42 → then \( \frac{3×6×7}{2} = \frac{126}{2} = 63 \) — too big.

📌 Set Sₙ = 63, a=3, d=3

📌 \( 63 = \frac{n}{2}(6 + (n−1)3) = \frac{n}{2}(3n + 3) = \frac{3n(n+1)}{2} \)

📌 \( 126 = 3n(n+1) → n(n+1) = 42 → n=6:6×7=42 → yes!

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