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9 September, 03:22

What is the rule for the following geometric sequence? 64, 128,256, 512 ... ?

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  1. 9 September, 05:32
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    Correct answer: aₙ = a₁ · 2ⁿ⁻¹

    Step-by-step explanation:

    Given: Geometric sequence

    64, 128, 256, 512, ...

    First term a₁ = 64

    Second term a₂ = a₁ · 2 = 128

    Third term a₃ = a₂ · 2 = a₁ · 2² = 256

    Fourth term a₄ = a₃ · 2 = a₁ · 2³ = 512

    ...

    n - th term aₙ = a₁ · 2ⁿ⁻¹

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