Keep going until you get to the 'peak' of your triangle made up from the differences.
Look for patterns.
I'm doing coursework for Maths which needs to be handed in Monday (25th February 2008). It is....
Ruth was investigating fraction differences.
She wrote down this sequence of fractions:
1 1 1 1 1 1
1 2 3 4 5 6
.....
Then she worked out the differences between the consecutive fractions:
1 1 1 1 1
2 6 12 20 30
.....
Then she worked out the differences between the fractions in her second series:
1 1
3 12
Investigate further.
Please can you help ASAP! Thanks
Well, difference is another term for subtraction.
So what they did was this:
Then they wanted to find the difference so they did this:
the first term will be the difference between 1/1 and 1/2 so:
And that is how they got the first term. Then they went onto the second term, the difference between 1/2 and 1/3
and that is how they got the second term. They proceeded to do this through
Then they went on to find the differences between the differences. Since the first two, which we found, were 1/2 and 1/6, they did:
Then they did the next one, and got 1/6 - 1/12 = 1/12
So, it's not clear to me what you're supposed to do, but if you understand what you are supposed to do, then you can follow this technique to figure out the proper answers.