Question
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.
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.
Answers
Reiny
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 ?
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 ?