







Successive coefficients in Pascal's Triangle 
20021227 

From Quincy: 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 Answered by Penny Nom and Walter Whiteley. 





Successive coefficients in the nth row of Pascal's Triangle 
20020610 

From Tim: 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. Answered by Penny Nom. 





Pascal's Triangle 
20020402 

From Brian: It's about (a+b)^{x}. I remember there a triangle with numbers to remember for a faster solution. Can you please teach me? Answered by Penny Nom. 





Multinomial coefficients 
19991203 

From Suraj Das: Is there a formula for the expansion of (a+b+c) to the nth power? Does it have to do with Pascal's triangle? Answered by Penny Nom. 





Triminoes 
19980909 

From Roxanne Hale: 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! Answered by Penny Nom. 





Pascal's Triangle 
19960219 

From Richard: 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? Answered by Denis Hanson. 

