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Home » The second term of a geometric sequence is 12 and the fifth term - AMAZONAWS

The second term of a geometric sequence is 12 and the fifth term - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Assume real-valued splitting:

📌 Continue until size = 1:

📌 Each division halves — so number of times = log₂(64000)

📌 log₂(64000) = log₂(64 × 1000) = 6 + log₂(1000) ≈ 6 + 9.9658 = 15.9658

📌 But we need exact powers:

📌 64000 ÷ 2¹ = 32000

📌 Find smallest n such that 64000 / 2^n = 1 → 2^n = 64000 → n = log₂(64000)

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