Math

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Help me solve this input output table?
1 1
2 3
3 6
4 10
5 15
6 21

So what equation should I do to get from the number in the first column to the number in the second column?

  • Math -

    I usually "play aroung" with the y values, I found this ....
    suppose we double all y values

    1 2 = 1x2
    2 6 = 2x3
    3 12 = 3x4
    4 20 = 4x5
    5 30 = 5x6
    6 42 = 6x7
    ...
    n ----> n(n+1)
    Did you see the pattern ?

    but remember we multiplied by 2

    so, .....

    y = x(x+1)/2

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