Pi Sums

Watch Matt Parker's Pi Day 2019 video (below) where he estimates π using moments and a famous result proved by Euler. Here are some additional problems based on Euler's sum.
Age groups relevant for by Key Stage:
KS3,
KS4,
KS5
Possible duration of tasks:
Up to 30 mins,
30 mins - 1 hour

Curriculum Topics Covered

Adding fractions, proof, indices. 

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