Difference between revisions of "1967 IMO Problems/Problem 5"
Catoptrics (talk | contribs) (Fixed problem and provided solution.) |
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==Solution== | ==Solution== | ||
It can be found here [https://artofproblemsolving.com/community/c6h21159p137339] | It can be found here [https://artofproblemsolving.com/community/c6h21159p137339] | ||
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| + | <math>\textbf{Note:}\hspace{4000pt}</math> 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. | ||
Revision as of 22:10, 1 August 2020
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.
