
An amazingly wide range of sequences can be found in Pascal's Triangle. In
addition to triangle numbers, tetrahedral numbers, fibonacci numbers and square
numbers, cube numbers a.....
Pascal's Pyramid, or Pascal's tetrahedron is an interesting extension of the
ideas from Pascal's Triangle. In this article, I take some of the basic
properties of Pascal's triangle...
An interesting extension of the ideas from Pascal's triangle can be found in
Pascal's tetrahedron, a threedimensional version of Pascal's triangle. In this
article, I explain how Pasc...
Expanding brackets can be a nightmare; even something like (a+b)^4 can take
ages to multiply out and simplify. In this article, I explain how Pascal's Triangle can come to the rescue b....
"n choose r" notation is widely used in combinatorics, the study
of the number of ways of doing something there is, and also has a close
connection with Pascal's Triangle. In thi.....
The Fibonacci sequence is one of the most well known sequences, with
numerous links with nature, and also finds its way unexpectedly into other
areas of mathematics. In this arti.....
Expanding and simplifying brackets is an essential skill for any
mathematician, as it is so widely used in different areas of mathematics. In
this article, I show how brackets can be.....
One famous pattern in Pascal's Triangle is that if you toss n coins, the
chance of getting m heads is the mth number along in the nth row of Pascal's
triangle. In this article, I.....
Of all the patterns and discoveries Blaise Pascal made from examining Pascal's Triangle, it was perhaps its link with probability that made the
triangle so interesting to him and...
Pascal's triangle
contains a vast range of patterns, including square, triangle and fibonacci
numbers, as well as many less well known sequences. In this article, however, I
explain.....
An
interesting property of Pascal's Triangle is that the rows are the powers of
11. I have explained exactly where the powers of 11 can be found, including how
to interpret rows wit.....
The
"Hockey Stick" property and the less wellknown Parallelogram
property are two characteristics of Pascal's Triangle that are both intruiging
but relatively easy to prove. This art...
You can get the best advice for your cosmetic surgery here if that's what you're after. There are many places for you to get information for your cosmetic needs. You can find alternatives...
Most people think references are not that important for jobs in Pakistan. But when the employer asks you for references, here is what you can do to make sure that you are doing the right steps to ensu...
You can find insurance tips all over the internet, but you also need a place to actually get the insurance too. You need to understand what is involved when getting insurance...
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