# Welcome 2016! Part 11

Algebra Level 5

Is there any infinite sequence of real numbers $$a_{1}$$,$$a_{2}$$, $$a_{3} \ldots$$ such that

$\large a_{1}^{m} + a_{2}^m + a_{3}^m \ldots \ = \ m$

for every positive integer $$m$$ ?

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