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Home » Thus, the sum of the first five terms is \(\boxed160\). - AMAZONAWS

Thus, the sum of the first five terms is \(\boxed160\). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 - 48x - 30x + 4x^2 = 252

📌 4x^2 - 78x + 360 = 252

📌 4x^2 - 78x + 108 = 0

📌 Dividing the entire equation by 2:

📌 2x^2 - 39x + 54 = 0

📌 Solving this quadratic equation using the quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \):

📌 x = \frac{39 \pm \sqrt{39^2 - 4 \cdot 2 \cdot 54}}{4}

📌 x = \frac{39 \pm \sqrt{1521 - 432}}{4}

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