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Home » You Won’t Believe Which Mushoku Tensei Character Has the Darkest Backstory! - Aurero

You Won’t Believe Which Mushoku Tensei Character Has the Darkest Backstory! - Aurero

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Problem:** A sequence is defined by \( a_1 = 2 \) and \( a_{n+1} = 3a_n + 4 \). What is the value of \( a_4 \)?

📌 \( a_2 = 3a_1 + 4 = 3 \times 2 + 4 = 10 \)

📌 \( a_3 = 3a_2 + 4 = 3 \times 10 + 4 = 34 \)

📌 \( a_4 = 3a_3 + 4 = 3 \times 34 + 4 = 106 \)

📌 Problem:** A company’s profit \( P \) (in thousands) is modeled by \( P = -2x^2 + 12x - 5 \), where \( x \) is the number of units sold (in hundreds). What is the maximum profit?

📌 The profit function is a quadratic \( P = -2x^2 + 12x - 5 \), which opens downward.

📌 The vertex occurs at \( x = -\frac{b}{2a} = -\frac{12}{2(-2)} = 3 \).

📌 Substitute \( x = 3 \):

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