Math

Consider the sequence 2, 6, 18, 54,...
Let n = the term number in the sequence.
Let A(n) = the value of the nth term in the sequence.

A(1) = 2 = 2 X 3^0
A(2) = 6 = 2 X 3 = 2 X 3^1
A(3) = 18 = 2 X 3 X 3 = 2 X 3^2
A(4) = 54 = 2 X 3 X 3 X 3 = 2 X 3^3

What is the relationship between the exponent of the base 3 and the value of n?

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