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.Com
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)   (Show Source): You can put this solution on YOUR website!
Let n = steps where
(1) n = [0,1,2,3,...)
Your branches are
(2) or
(3) B = [1,2,4,8,16,32,...)
Answer: The exponential function is
Note:

RELATED QUESTIONS

Please show a completed solution for this problem. A bird sitting 16 feet above the... (answered by Boreal,ikleyn)
it says write a function for the table of values. this is what it looks like x... (answered by stanbon)
Hi! Putting this here because I need some help with fractals. If the perimeter of a... (answered by ikleyn)
If a worker has completed 5/8 of a job, what percent of the job remains to be... (answered by Boreal,Edwin McCravy)
I do not understand how to calculate this particular probability? The question is: (answered by rfer)
Here is my word problem, need to write an equation: A lanscape architect wants to... (answered by scott8148)
Hello! I have been given a function table with missing steps. I have completed the table (answered by KMST)
If a fractal object requires N = 4 copies to construct a version scaled up by a factor... (answered by racefan75,ikleyn)
Brian needs to make a total of deliveries this week. So far he has completed of them.... (answered by checkley77)