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📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A sequence is defined by \(a_1 = 2\) and \(a_{n+1} = 3a_n + 1\). Find \(a_4\).

📌 \(a_2 = 3(2) + 1 = 7\).

📌 \(a_3 = 3(7) + 1 = 22\).

📌 \(a_4 = 3(22) + 1 = 67\).

📌 The volume of a cylinder is \(288\pi\) cm\(^3\) and its height is 12 cm. Find the radius.

📌 So, \(288\pi = \pi r^2 \times 12\).

📌 Divide by \(\pi\): \(288 = 12r^2\).

📌 Thus, \(r^2 = 24\) and \(r = \sqrt{24} = 2\sqrt{6}\).

🔥 Popular Posts

A solution contains 30% alcohol. How much pure alcohol must be added t...
First, calculate the amount of alcohol in the initial solution:
\[ 0.3 \times 200 = 60 \, \text{mL} \]
Let \( x \) be the amount of pure alcohol added. The total volume beco...
Set up the equation for 50% alcohol:
\[ \frac{60 + x}{200 + x} = 0.5 \]
\[ 60 + x = 0.5(200 + x) \]
\[ 60 + x = 100 + 0.5x \]
\[ 0.5x = 40 \]
\[ x = 80 \, \text{mL} \]

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