Posted by **Needshelp** on Saturday, July 30, 2011 at 3:17pm.

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.

- Math -
**Reiny**, Saturday, July 30, 2011 at 5:45pm
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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