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pascal's

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Successive coefficients in Pascal's Triangle 2002-12-27
Quincy pose la question :
There is a formula connecting any (k+1) successive coefficients in the nth row of the Pascal Triangle with a coefficient in the (n+k)th row. Find this formula
Penny Nom and Walter Whiteley lui répond.
Successive coefficients in the nth row of Pascal's Triangle 2002-06-10
Tim pose la question :
There is a formula connecting any (k+1) successive coefficients in the nth row of Pascal's Triangle with a coefficient in the (n+k)th row. find this formula.
Penny Nom lui répond.
Pascal's Triangle 2002-04-02
Brian pose la question :
It's about (a+b)x. I remember there a triangle with numbers to remember for a faster solution. Can you please teach me?
Penny Nom lui répond.
Multinomial coefficients 1999-12-03
Suraj Das pose la question :
Is there a formula for the expansion of (a+b+c) to the nth power? Does it have to do with Pascal's triangle?
Penny Nom lui répond.
Triminoes 1998-09-09
Roxanne Hale pose la question :
I am doing an investigation about a game called triminoes (like dominoes). The game is played using triangular pieces of card. Each card has 3 numbers on it. I have to investigate the relationship between the number of trimino cards in a set and the largest number on the cards. I found;

largest no. used 0 1 2 3 4
no. of trimino cards 1 4 10 20 35

I was ginen the formula for this which is:
UN= UN - 1 + 1/2 (n + 1 ) (n+2)

UN=no. of trimino cards n= largest no.

I don't know how to get to this equation I think it has something to do with triangle numbers!
Penny Nom lui répond.

Pascal's Triangle 1996-02-19
Richard pose la question :
Do you know of any resources that might help us make use of the numeric relationships in Pascal's triangle on a fairly simple basis?
Denis Hanson lui répond.
 
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