1967 IMO Problems/Problem 5
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Let 
be reals, not all equal to zero. Let ![\[c_n = \sum^8_{k=1} a^n_k\]](http://latex.artofproblemsolving.com/b/c/6/bc62323075b4e2015085cc7aa2e3364679d89ced.png)
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.
