Math

I am supposed to find the pattern of a triangle of fractions, and find the next two rows. However, I can't seem to find the pattern. Could you please help me out?

Row 1: 1 1
Row 2: 1 3/2 1
Row 3: 1 6/4 6/4 1
Row 4: 1 10/7 10/6 10/7 1
Row 5: 1 15/11 15/9 15/11 1
If you center out the numbers, it looks like a triangle.

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  1. first of all , write them down in nice column forms
    Now look at the columns
    the first column is obvious

    2nd column:
    look at the numerators.
    1 3 6 10 15 ..
    notice that the difference between them increases by 1 each time, so the next few are
    1 3 6 10 15 21 28 ...
    look at the numerators
    2 4 7 11 ...
    difference between 2 and 4 is 2, difference between 4 and 7 is 3, difference between 7 and 11 is 4 ...
    can you see the pattern?

    Can you finish it ?

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    posted by Reiny

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