Pieces of Pascal:
A Website All About Blaise Pascal
and Pascal's Triangle
What is Pascal's Triangle?
Sources & Acknowledgements
|Welcome to Pieces
Pascal's Triangle is
constructed by addition. The top of it can
look like this:
The one is the top number. The top one has
zeros on both sides of it, but those zeros
are invisible. One plus the left zero equals
one; put that sum below the two addends (and
in between them). Repeat that process for the
right side. Now, you have 0110. 0 + 1 = 1.
The 1 plus 1 equals the two, and 1 + 0 = 1.
So now, you have 01210, and 0 + 1 = 1, plus 2
is three. You can now do the same for the
right. You have 013310. You can keep adding
to the riangle forever. When you make the
triangle, do not add the zeros.
Now think of a three at the top of the
triangle. 3 + 0 = 3, 3 + 0 = 3. You now have
the first row. Keep adding 3 more rows. Does
your triangle look like this?
Try making this triangle with a two at the
top. Does it still work?