Down the Rabbit Hole of Pascal’s Triangle
Pascal’s triangle is so interesting if you go down the rabbit hole of its patterns and functions.
Pascal’s Dorito, more commonly known as Pascal’s Triangle, is one of the first treasure chests to be discovered by every mathematician in their journey towards mathematical discoveries.
First, let us discuss what exactly is a ‘Pascal’s Triangle’.
Imagine a two-dimensional pyramid where, at the top, sits the number “1”. Place imaginary “0”s on either side of the “1”. Then add them up in pairs while maintaining the original boundary of imaginary “0”s.
This would create the second layer: 121. The third layer would therefore be 1331. Henceforth, 14641, and more.
This can go on infinitely and the triangle-like shape created from the plotting of this flow is commonly known as Pascal’s Triangle. In this progression, each row corresponds to what is known as a “binomial expansion”, the formula for which is (x+y)ⁿ, where ⁿ is the number of the row.
The number in front of the variables are the same as the numbers in that row. For…
