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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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Mathematics
5 years
2021-07-24T11:52:12+00:00
2021-07-24T11:52:12+00:00 1 Answers
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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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