Zero sequence
Author: mathforces
Problem has been solved: 77 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 $.
Последовательность ${{x}_{1}},{{x}_{2}},\ldots ,{{x}_{n}}$ такова, что ${{x}_{n+2}}={{x}_{n}}-\dfrac{1}{{{x}_{n+1}}}$, ${{x}_{1}}=20$, ${{x}_{2}}=13$. Найдите такой номер $N$, что ${{x}_{N}}=0$.
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