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IKMC 2014 - Grades 11-12 - Self-study Question 29

IKMC · IKMC 2014 - Grades 11-12 - Self-study

Question 29

A function f:Z→Z satisfies f(4)=6 and x f(x)=(x−3)f(x+1). Find f(4)f(7)f(10)…f(2011)f(2014).
  1. $2013$
  2. $2014$
  3. $2013\cdot2014$
  4. $2013!$
  5. $2014!$