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Home » Using the principle of inclusion-exclusion: - Simpleprint

Using the principle of inclusion-exclusion: - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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\( x \) について解きます：\( x = \frac{4}{2} = 2 \)。
初項から \( n \) 項までの和が \( S_n = 3n^2 + 5n \) で与えられる数列の...
第 \( n \) 項 \( a_n = S_n - S_{n-1} \) です。
\( S_{n-1} = 3(n-1)^2 + 5(n-1) = 3(n^2 - 2n + 1) + 5n - 5 = 3n^2 - 6n...
簡略化します：\( S_{n-1} = 3n^2 - n - 2 \)。
したがって、\( a_n = (3n^2 + 5n) - (3n^2 - n - 2) = 6n + 2 \) です。
初速度 \( 50 \) m/sで、水平面に対して \( 30^\circ \) の角度で射出され...
射程の公式は \( R = \frac{v^2 \sin(2\theta)}{g} \) です。
\( v = 50 \) m/s、\( \theta = 30^\circ \) 、\( \sin(60^\circ) = \frac{...
\( R = \frac{50^2 \times \frac{\sqrt{3}}{2}}{9.8} = \frac{2500 \times...

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