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pascal

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Successive coefficients in Pascal's Triangle 2002-12-27
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 2002-06-10
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 2002-04-02
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.
Four questions 2000-03-17
From Ibrahim Bin kasmin:
  1. What is a hexahedron?(please show a picture of a hexahedron).
  2. How do we make a cube out of three pyramids?(show me the picture).
  3. How do we find the approximate perimeter and area of a hibiscus leaf?
  4. What is a Pascal triangle?

Answered by Penny Nom.
Multinomial coefficients 1999-12-03
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 1998-09-09
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 1996-02-19
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.
 
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