Question

Let a be a sequence be defined by a1=3,an=3an-1 for all n>1.Find the first 4 terms of an ap

Answer 1

Answer:

an = 3an -1

= a₁ = 3

∴ a₂ = 3a₂ ₋ ₁

= a₂ = 3a₁

= a₂ = 3

∴ a₃ = 3a₃ ₋ ₁

= a₃ = 3a₂

= a₃ = 9

∴ a₄ = 3a₄ ₋ ₁

= a₄ = 3a₃

= a₄ = 27

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