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Home » \[ E = \frac12 C V^2 \] - RoadRUNNER Motorcycle Touring & Travel Magazine

\[ E = \frac12 C V^2 \] - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 So, \( w = 8 \).

📌 A sequence is defined recursively by \( a_1 = 2 \) and \( a_{n} = 3a_{n-1} + 4 \) for \( n \geq 2 \). What is \( a_4 \)?

📌 \( a_2 = 3 \times 2 + 4 = 10 \)

📌 \( a_3 = 3 \times 10 + 4 = 34 \)

📌 \( a_4 = 3 \times 34 + 4 = 106 \)

📌 The sum of the first \( n \) terms of an arithmetic series is given by \( S_n = \frac{n}{2}(2a + (n-1)d) \). If the first term \( a = 5 \) and the common difference \( d = 3 \), what is the sum of the first 10 terms?

📌 \( S_{10} = \frac{10}{2}(2 \times 5 + (10-1) \times 3) \)

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