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heavy is the head that wears the crown - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Recall that \(i^2 = -1\). Substituting, we have:

📌 = 3 - 6i + 4i + 8

📌 = (3 + 8) + (-6i + 4i)

📌 Thus, the product of the force fields is:

📌 \boxed{11 - 2i}

📌 Question:** A philosopher of science contemplates the growth of scientific knowledge as a sequence defined by the recursive relation \(a_{n} = 2a_{n-1} + 3\), with \(a_1 = 1\). Compute \(a_4\).

📌 We will compute the terms of the sequence step-by-step using the recursive relation:

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