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

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