1967 IMO Problems/Problem 5
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Let be reals, not all equal to zero. Let
for
. Given that among the numbers of the sequence
, there are infinitely many equal to zero, determine all the values of
for which
Solution
It can be found here [1]
Problem 5 on this (https://artofproblemsolving.com/wiki/index.php/1967_IMO_Problems) page is equivalent to this since the only difference is that they are phrased differently.