Riddles, brain puzzles and mathematical problems

[BAndrew]

Let q1,q2,q3,...qn natural numbers.
(Set of natural numbers is N={1,2,3,...})

Given that:

• q1/q2 = k
  
• q1/q2 = q2/q3 = ... = qn-1/qn
  

Find q1/qn


NOTE: Only basic algebra is required. Nothing special.
NOTE 2: The solution is really, really short, but elegant.