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Home » Use geometric sequence: \(a_n = a \cdot r^n-1\) - Decision Point

Use geometric sequence: \(a_n = a \cdot r^n-1\) - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 #### Width = 8 cm, Length = 24 cm

📌 If an investment grows according to the formula \(A = P(1 + r/n)^{nt}\), where \(P = 1000\), \(r = 0.05\), \(n = 4\), and \(t = 3\), calculate the amount \(A\) after 3 years.

📌 Substitute the values: \(A = 1000(1 + 0.05/4)^{4 \times 3}\).

📌 Simplify: \(A = 1000(1.0125)^{12}\).

📌 Calculate: \(A \approx 1000 \times 1.1616 = 1161.62\).

📌 #### $1161.62

📌 Find the derivative of \(f(x) = 3x^3 - 5x^2 + 6x - 4\).

📌 Differentiate term by term: \(f'(x) = 9x^2 - 10x + 6\).

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