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Ok, I have one more problem that has arised. I have worked out the nth term forumla for each difference (thanks to your help). They are as follows:
1st difference:
1/(n+1)(n+2)
2nd difference:
2/(n+1)(n+2)(n+3)
3rd difference:
6/(n+1)(n+2)(n+3)(n+4)
and so on...
Now notice how the numerator goes like this:
1
then
2 (which is 1x2)
then
6 (which is 1x2x3)
My objective is to find the nth term for the entire pyramid of fractions (my first post) but I need help.
I know that it is something to do with the 1x2 and 1x2x3 and 1x2x3x4, etc but I don't know how to put this into a nth term forumla.
Please note, as always, I do not want a direct answer but instead I would just like to be pointed into the right direction so that I can find the answer for myself.
I have till tomorrow to finish this work so please send a reply today.
Thank you very much.
Thank you very much.
I have tried using the differences (doesn't work).
As for ure n/(n+1) I know this I want help with the other sequences and the nth term for the pyramid.
Thanks.
P.S. I may be sounding ungrateful (which I am not) but please hurry because my time is coming to an end with this work.
I'm having problems with my nth terms and would like someone to help me with these questions. The nth terms I have to find are from fraction sequences shown below:
I have worked out the first sequences but if you notice any mistakes please point them out.
1/2 2/3 3/4 4/5 5/6 6/7 7/8 8/9 9/10 10/11 n/(n+1)
1/6 1/12 1/20 1/30 1/42 1/56 1/72 1/90 1/110 1/(n+1)(n+2)
1/12 1/30 1/60 1/105 1/168 1/252 1/360 1/495
1/20 1/60 1/140 1/280 1/504 1/840 1/1320
1/30 1/105 1/280 1/630 1/1260 1/2310
1/42 1/168 1/504 1/1260 1/2772
In addition to finding the nth term for each sequence, you can see that it makes a triangle shape and the entire thing is also one big sequence so I need to find the general nth term for the entire thing as well. If you could please walk me through this and help me find my way towards an answer I would be very grateful because this work is severly important. I know it may seem a lot but please get to me as soon as possible.
Thank you,
PulpFiction1950s
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