Posted by **Keira** on Thursday, June 25, 2009 at 9:39am.

Length of one Total # of # of

side of pattern triangular white

(in cm) Shapes used triang-

to make pattern ular

shapes

used

2 4 3

3 9 6

4 16 10

? ? ?

6 ? ?

? ? ?

? ? ?

20 ? ?

Number of gray triangular shapes used 1, 3,6,? ? ? ? ?

- Math (dont want ans just help figuring this out) -
**Reiny**, Thursday, June 25, 2009 at 10:44am
observation #1:

what happens when you square the numbers in the first column?

observation #2

in the third column:

second # - first # = ??

third # - second # = ??

observation #3

visualize billiard balls racked up

sum of balls after 1 row = 1

sum of balls after 2 rows = 3

sum of balls after 3 rows = 6

....

- Math (for Reiny) -
**Raquel**, Thursday, June 25, 2009 at 11:31am
Ok Reiny i get that i have to square the 1st row to come up with the 2nd row, but i still don't get how i come up with the 3rd row?

- Math (dont want ans just help figuring this out) -
**Damon**, Thursday, June 25, 2009 at 5:47pm
2 4 3

3 9 6

4 16 10

? ? ?

6 ? ?

? ? ?

? ? ?

20 ? ?

Third column

6-3 = 3

10-6 = 4

then

15-5 = 5

21-15 = 6

28-21 = 7

so

3

6

10

15

21

28

etc

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