alyssadurant alyssadurant

23-03-2020
Mathematics

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If a1 = 10 and an = 3an-1 then find the value of a6.

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Danboghiu66 Danboghiu66

23-03-2020

Answer:

a(6)=2430

Step-by-step explanation:

a(1)=10

a(n)=3×a(n-1)

This is a geometric sequence, with ratio=3

a(2)=3×a(1)=3×10

a(3)=3×a(2)=3²×10

a(6)=3⁵×20=(27×9)×10=243×10=2430

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