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IKMC 2017 - Grades 11-12 - Self-study Question 23

IKMC · IKMC 2017 - Grades 11-12 - Self-study

Question 23

The sequence satisfies $a_1=2017$ and $a_{n+1}=(a_n-1)/a_n$. What is $a_{999}$?
  1. $-2017$
  2. 2017
  3. $\frac{2016}{2017}$
  4. 1
  5. $-\frac1{2016}$