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.
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!