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?
4 answers
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.
I did not use the A(1), the A's and those numbers were already given to me.
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?
A(n) = 2*3^(n-1)
one less than n just means n-1
one less than n just means n-1
1 answer