Logged out
Access All our Essays in an Instant
Swap your work for FREE access, or pay £4.99 for instant access
I am investigating how many regions can be created when n circles overlap. After I have looked at circles I will look at other shape and try to find if they have a general formula.
Member rating: No Rating | Words: | Submitted: Tue Aug 12 2003
Page Preview
On the left is an image preview of every page of this document, and below are the first 150 words with formatting removed:
I am investigating how many regions can be created when n circles overlap. After I have looked at circles I will look at other shape and try to find if they have a general formula. When 2 Circles overlap When 3 Circles overlap When 4 circles overlap A maximum of 3 regions a maximum of 7 regions a maximum of 13 regions Can be created. Can be created. Can be created. Term U 1 2 3 4 Sequence 1 3 7 13 1st difference 2 4 6 2nd difference 2 2 2 After looking at my results so far I can see that the 1st difference is changing but the 2nd difference is constant. This tells me my equation is quadratic, and there's a formula which applies to all quadratic equations. It is: Un = an*+ bn+c First of all to find out what a is I must half the 2nd difference so A = 1, So my formula now is: Un = n*+bn+c, to find b I have to make a new sequence. Term 1 2 3 4 5 Sequence 1 3 7 13 21 n* 1 4 9 16 25 New 0 -1 -2 -3 -4 Sequence 1st difference...
Get instant access
- Instant, unlimited access to our documents in full
- Swap your work for free access, or pay £4.99
- To see the full version of this document and 146,168 others
Receive email updates for this category
- Simply tell us your email address and receive a weekly Study Help Email for FREE
- Receive 3 FREE essay views with each email
- Get all the latest essays from Coursework.Info & discussion from TheStudentRoom.co.uk
