Imhighkeydumb Imhighkeydumb

08-11-2020
Mathematics

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If a1=4 and an= 3an-1 then find the value of a6.

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jimrgrant1 jimrgrant1

08-11-2020

Answer:

a₆ = 972

Step-by-step explanation:

Given a₁ = 4 and [tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] , then

a₂ = 3a₁ = 3 × 4 = 12

a₃ = 3a₂ = 3 × 12 = 36

a₄ = 3a₃ = 3 × 36 = 108

a₅ = 3a₄ = 3 × 108 = 324

a₆ = 3a₅ = 3 × 324 = 972

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