# Zero sequence

Author: mathforces
Problem has been solved: 66 times

Русский язык | English Language

The sequence ${{x} _ {1}}, {{x} _ {2}}, \ldots, {{x} _ {n}}$ is such that ${{x} _ {n + 2}} = {{x} _ {n}} - \dfrac {1} {{{x} _ {n + 1}}}$, ${{x} _ {1}} =$ 20, ${{x}_{2}} =$ 13. Find the number $N$ such that ${{x} _ {N}} = 0$.

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