What’s the pattern of 0, 1, 3, 7, 15, 31, 63

Question

What’s the pattern of 0, 1, 3, 7, 15, 31, 63

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Tryphena 5 years 2021-07-24T11:52:12+00:00 1 Answers 28 views 0

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    2021-07-24T11:53:19+00:00

    Answer:

    a₀ = 0

    aₙ = aₙ₋₁ + 2ⁿ⁻¹

    Step-by-step explanation:

    a₀ = 0

    aₙ = aₙ₋₁ + 2ⁿ⁻¹

    a₁ = a₀ + 2¹⁻¹ = 0 + 2⁰ = 1

    a₂ = 1 + 2²⁻¹ = 3

    a₃ = 3 + 2³⁻¹ = 7

    …………..

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