Patterns, primes and Pascal's Triangle Posted 16 Dec 2021 16 Dec 2021 Thu 16 Dec 2021 at 1:16am Space to play or pause, M to mute, left and right arrows to seek, up and down arrows for volume.

Pascal’s triangle can be used to determine the expanded pattern of coefficients. The first few expanded polynomials are given below. Using summation notation , the binomial theorem may be ...

I first encountered Pascal’s triangle on a worksheet my older brother brought home from school when I was in eighth grade. At the time, I was taking geometry (with a teacher who had a cool pair of ...

Before looking for patterns in Pascal’s triangle, let’s take a minute to talk about what it is and how it came to be. As you’ll recall, ...

Now for my all-time favourite Pascal pattern – I never cease to be amazed by how my favourite fractal triangle of all time sneakily hides itself in Pascal’s triangle too.

And I suspect Pascal’s penchant for patterns helped lead him to this liberating philosophy. The relatively simple arrangement of numbers known as Pascal’s Triangle contains many numeric ...

Do the sum for metres of one, two, three, four and more and a mathematical pattern emerges. It is Pascal's Triangle, the pyramid of numbers in which the series in the next line is given by adding ...