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Home » The inradius is related to area by: - Abbey Badges

The inradius is related to area by: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A geometric sequence starts with 3 and has a common ratio of 2. What is the 6th term of the sequence?

📌 The formula for the \(n\)th term is \(a_n = a \cdot r^{n-1}\).

📌 Substitute \(a = 3\), \(r = 2\), \(n = 6\):

📌 a_6 = 3 \cdot 2^{6-1} = 3 \cdot 2^5

📌 a_6 = 3 \cdot 32 = 96

📌 Find the derivative of \(f(x) = x^3 - 4x^2 + 5x - 7\) and evaluate it at \(x = 2\).

📌 Differentiate:

📌 f'(x) = 3x^2 - 8x + 5

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