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If a₁ = 9 and an= 4an-1 then find the value of a5.
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If a₁ = 9 and an= 4an-1 then find the value of a5.

User MatTheWhale
by
3.2k points

1 Answer

1 vote

Explanation:

an = 4an-1

means that

a2 = 4×a1

a3 = 4×a2 = 4×(4×a1)

so,

an = a1 × 4^(n-1) = 9 × 4^(n-1)

therefore,

a5 = 9 × 4⁴ = 9 × 256 = 2,304

User Tyro
by
3.9k points
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