SOLUTION: What kind of sequence is the graph of this equation… y=2 ^ x-1 (two to the power of x minus one)

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Question 927781: What kind of sequence is the graph of this equation…
y=2 ^ x-1 (two to the power of x minus one)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
y=2%5E%28x-1%29=> this is a geometric sequence

In general we can write a geometric sequence like this:
{a, ar, ar^2, ar^3, ... }
where:
a is the first term, and
r is the factor between the terms (called the "common ratio")
Note: r should not be 0.
When r=0, we get the sequence {a,0,0,...} which is not geometric
And the rule is:
a%5Bn%5D+=+ar%5E%28n-1%29
(We use "n-1" because ar^0 is the 1st term)
in your case y=2%5E%28x-1%29=> a=1 and r=2

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2%5E%28x-1%29%29+