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07-05-2021
Mathematics

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

Respuesta :

lynnkc2000 lynnkc2000

07-05-2021

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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