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Home » Conclusion: the remainder is constant \( -1 \) - Dachbleche24

Conclusion: the remainder is constant \( -1 \) - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Integrate term by term: \(\int 3x^2 \, dx = x^3\), \(\int -2x \, dx = -x^2\), \(\int 1 \, dx = x\).

📌 Combine: \(x^3 - x^2 + x + C\).

📌 #### \(x^3 - x^2 + x + C\)

📌 A geometric sequence has first term \(a = 4\) and common ratio \(r = 3\). What is the fifth term?

📌 Use the formula: \(a_n = ar^{n-1}\).

📌 For \(n = 5\): \(a_5 = 4 \times 3^{4} = 4 \times 81 = 324\).

📌 #### 324A car travels at a speed of 60 miles per hour. If it continues at this speed, how many miles will it travel in 3.5 hours?

📌 It travels 60 × 3.5 = <<60*3.5=210>>210 miles.

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