SOLUTION: I completed a table showing the addition of new branches to a fractal tree. This is what my completed looks like: Steps 0 1 2 3 4 5 Number of Branches 1 2 4 8 16 32

Algebra ->  Functions -> SOLUTION: I completed a table showing the addition of new branches to a fractal tree. This is what my completed looks like: Steps 0 1 2 3 4 5 Number of Branches 1 2 4 8 16 32      Log On


   

Question 855392: I completed a table showing the addition of new branches to a fractal tree. This is what my completed looks like:
Steps
0
1
2
3
4
5
Number of Branches
1
2
4
8
16
32
I'm pretty sure the additional number of branches is correct but I'm having trouble trying to write an exponential function that models my findings in my table.
Thanks for any and all help!
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = steps where
(1) n = [0,1,2,3,...)
Your branches are
(2) B+=+2%5En or
(3) B = [1,2,4,8,16,32,...)
Answer: The exponential function is 2%5En
Note: 2%5E0+=+1