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Home » Now, divide by 2 to find the average: - Moon Smoking

Now, divide by 2 to find the average: - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Question: A Martian geological survey finds a rock layer 2.4 meters thick. If each centimeter corresponds to 1,000 years, how many millennia does the layer represent?

📌 To determine which is a maximum, evaluate the second derivative:

📌 g(x+1) + g(x-1) = 2(x+1) + 2(x-1) = 2x + 2 + 2x - 2 = 4x = 2(2x) = 2g(x)

📌 Thus, without additional constraints, the condition forces:

📌 The recurrence is linear homogeneous with characteristic equation:

📌 a_2 = 2a_1 - a_0 = 2(5) - 3 = 10 - 3 = 7

📌 a_3 = 2a_2 - a_1 = 2(7) - 5 = 14 - 5 = 9

📌 a_4 = 2a_3 - a_2 = 2(9) - 7 = 18 - 7 = 11

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