Logged out
Access All our Essays in an Instant
Swap your work for FREE access, or pay £4.99 for instant access
Mathematics Borders
Member rating:
(1 vote)
| Words: 4098
| Submitted: Thu Feb 21 2008
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:
Level 8 I will now express the generalization formula in terms of sigma notation using square numbers. Below, I will show the sequence of cubes need to make a 3D cross shape through the help of level 7 in the form of a cross shape. This will be presented in a tabular manner Shape Number of cubes Sigma Notation 1 1 12 + 0 2 7 12 + 22 + 2 3 25 12 + 22 + 32 + 11 4 63 12 + 22 + 32 + 42 + 33 5 129 12 + 22 + 32 + 42 + 52 + 74 6 231 12 + 22 + 32 + 42 + 52 + 62 +140 6? = r2 r = 1 Since I have found the formula = Un = 4 n3 - 2n2 + 8 - 1 3 3 This will help me to find the number of cubes. Now I will find the formula for the square numbers of the sigma notation. Sigma Notation 12 12+22 12+22+32 12+22+32+42 12+22+32+42+52 12+22+32+42+52+62 Value 1 5 14 30 55 91 1 5 14 30 55 91 4 9 16 25 36 2nd difference...
To see the full version of this document, and 145,348 others
