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Zero sequence

Author: mathforces
Problem has been solved: 63 times

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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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