# Help finding an exponential equation...

• Feb 10th 2010, 04:51 PM
BtimusTtimus
Help finding an exponential equation...
SO for my homework tonight, I got this fractal.

It starts out as a straight line in stage one
In stage two, I kind of tents up...

Stage zero________ Notice it is all one segment
Stage Two____/\______ This is now Four segments
Then, both sides of that tent tent up too.

So first I have to make a table of the first few stages...

Stage |* |0 |1 |2 |3 |4 |
segments|1 |4 |16|40|88|

And now I have to find the equation, but I don't seem to get it enough to do that.... But I think I should know how to find the equation from points by now,
So I'm asking two questions really...
A: What is the equation
B Why?
Thanks for the urgent help. THis is due tomorrow (!)
• Feb 10th 2010, 04:58 PM
skeeter
Quote:

Originally Posted by BtimusTtimus
SO for my homework tonight, I got this fractal.

It starts out as a straight line in stage one
In stage two, I kind of tents up...

Stage zero________
Stage Two____/\______
Then, both sides of that tent tent up too.

So first I have to make a table of the first few stages...

Stage |0 |1 |2 |3 |4 |
segments|1 |4 |16|40|88|

And now I have to find the equation, but I don't seem to get it enough to do that.... But I think I should know how to find the equation from points by now,
So I'm asking two questions really...
A: What is the equation
B Why?
Thanks for the urgent help. THis is due tomorrow (!)

recheck your table ... it's ok for stages 0 , 1 , and 2.

I disagree with the number of segments for stages 3 and 4.
• Feb 10th 2010, 05:08 PM
BtimusTtimus
Actually, I've recounted quite a few different times. But I realize that I forgot to add something.....

In stage three, there are two other tents added, I believe that would mean that there would be an additional two tents added to the next, etc.

so now my data is....

Stg 0 | 1| 2| 3| 4
Seg 1 | 4|16|46|204
• Feb 10th 2010, 05:13 PM
skeeter
you might want to post the complete original problem statement, as it was given to you.