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Home » Thus, the sum of the first five terms is \(\boxed160\). - Upplift

Thus, the sum of the first five terms is \(\boxed160\). - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 初速度20 m/sで真上にボールを投げます。公式 \( h(t) = -5t^2 + 20t \) を使用して、ボールが到達する最大高さを求めます。

📌 高さの関数 \( h(t) = -5t^2 + 20t \) は下に開いた放物線です。

📌 頂点は \( t = -\frac{b}{2a} = -\frac{20}{2 \times -5} = 2 \) 秒で発生します。

📌 \( t = 2 \) を \( h(t) \) に代入します：\( h(2) = -5(2)^2 + 20(2) = -20 + 40 = 20 \) メートルです。

📌 方程式 \( 3^{2x} = 81 \) を \( x \) について解きます。

📌 81を \( 3^4 \) と書き換えます。

📌 \( x \) 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 \( n \) 項を求めます。

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