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Home » Thus, only **one** such sequence satisfies the condition. - DNSFLEX

Thus, only one such sequence satisfies the condition. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 \cdot 25 = (390625 \cdot 100)/4 = 39,062,500 / 4 = 9,765,625.

📌 Add: $ 234,375,000 + 9,765,625 = 244,140,625 $.

📌 So $ 5^{12} = 244,140,625 $, and

📌 5^{12} - 1 = 244,140,624.

📌 Thus, the greatest common divisor is $ \boxed{244140624} $.

📌 Question: How many lattice points lie on the hyperbola $ x^2 - y^2 = 2025 $?

📌 Solution: We seek integer solutions $ (x, y) $ to $ x^2 - y^2 = 2025 $.

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新しい根は \(4, 6, 9\) です。異なる根は \(4\) と \(6\) です（9は繰り返...
\[ 4 + 6 = 10 \]
\[ \text{正方形の面積} = \text{辺}^2 = 10^2 = 100 \text{平方単位} \]
内接円の直径は正方形の一辺に等しいため、半径 \(r\) は：
\[ r = \frac{10}{2} = 5 \text{単位} \]
\[ \text{円の面積} = \pi r^2 = \pi \times 5^2 = 25\pi \text{平方単位}...
\[ 100 - 25\pi \]
#### \(100 - 25\pi\)
等比数列の初項が3で公比が2です。最初の6項の和は？
初項 \(a = 3\)、公比 \(r = 2\) です。

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