2007 Cyprus MO/Lyceum/Problem 9
Problem
We consider the sequence of real numbers , such that , and , . The value of the term is
Solution
The first few terms of the sequence are:
0, 1, 1, 0, -1, -1, 0, 1, 1, 0 …
The sequence repeats every 6 terms, and .
See also
2007 Cyprus MO, Lyceum (Problems) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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