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10-03-2022
Mathematics

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10-03-2022

Answer:

aₙ = a₁ * 2ⁿ⁺¹

Step-by-step explanation:

a₁ = 6

a₂ = 12

a₃ = 24

Note a₂/a₁ = 2 = a₃/a₂

So it is a geometric sequence with common ratio of 2

a₂ = a₁ * 2 = a₁ * 2¹ = a₁ * 2²⁺¹

a₃ = a₂ * 2 = a₁ * 2 * 2 = a₁ * 2² = a₁ * 2³⁺¹

Then

aₙ = a₁ * 2ⁿ⁺¹

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