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Math (dont want ans just help figuring this out)

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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) -

    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) -

    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) -

    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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