A Foury Series & A Fourier Series
HMMT November 2022
This math problem comes from the Harvard-MIT Mathematics Tournament and it’s about two infinite series made with terms with coefficients of 4 and more 4s.
Suppose the sum of the fourier series is four times the sum of the foury series. Can you find x?
Grab your pen and paper and give this puzzle a go, when you are ready, keep reading for the solution.
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