Why does this fraction give the Fibonacci sequence? It’s no coincidence

You may have seen one of the following viral math facts: The first fraction seemingly gives the Fibonacci numbers. That is, the sequence of numbers that starts with 1, then 1, then each successive term is the sum of the two prior terms. So the first few Fibonacci numbers are 1,1,2,3,5,8,13,21,… Which appear on the […]

The Harmonic Series and Friends

A lot of times, math can be deceptive and unexpected A few examples are the Monty Hall problem, the Banach-Tarski paradox, and the Weierstrass function. Today we will look at one of the most famous and classic counterexamples, that is that if a sequence converges to zero, it’s series does not necessarily converge. What does […]