Problem of the Week 1182
A Power Sum Puzzle
Suppose a, b, c, d are complex numbers such that
a +  b + c + d = 1
What is a10 + b10 + c10 + d10?
Source: Due to Michael Elgersma and Stan Wagon, extending an old chestnut involving three variables and 3, 5, 7 on the right side.
© Copyright 2014 Stan Wagon. Reproduced with permission.