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Borders Maths Investigation - page 3

Keywords: Borders Maths Investigation

By Grant867 on 07/12/2008

Level: GCSE Key Stage 4 (Years 10-11)

Page Number: 3 of 3   pages: 1 2 3

to find the amount of total number of squares & then minus the formula for the white squares.

E.g.

Total number of squares – 4N = number of dark squares

Adding to my list of algebraic letters I will add the letter T.

N = pattern number

D = dark squares

W = white squares

T = total number of squares

I am now going to complete a table to show the development of the pattern number (N) against the total number of squares (T).

N
T

1
5
+ 4

2
13
+ 11

3
25
+ 22

4
41
+37

5
61
+56

6
85
+79

7
113
+

8
145
+

9
181
+

10
221
+

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Borders Maths Investigation- page 3