Asked by Anonymous

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?
Answered by bobpursley
the exponent is one less than n, if you call the first term A(1). Many would have started with A(0), which would have made the exponent and the n the same.
Answered by Anonymous
I did not use the A(1), the A's and those numbers were already given to me.
Answered by Anonymous
Sorry...what can I say for the relationship between 3 and the exponent? I mean, what would it mean if the exponent is one less than n?
Answered by Steve
A(n) = 2*3^(n-1)

one less than n just means n-1
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