SOLUTION: Prove that: (a1/a2 + a2/a3 + ... + an-1/an + an/a1)>= n *a1 , a2 , ... , an-1 , an are not a*1 , a*2 , ... , a*n . They are parameters, or indexes (in the bottom right corner of

Algebra ->  Inequalities -> SOLUTION: Prove that: (a1/a2 + a2/a3 + ... + an-1/an + an/a1)>= n *a1 , a2 , ... , an-1 , an are not a*1 , a*2 , ... , a*n . They are parameters, or indexes (in the bottom right corner of      Log On


   



Question 1025317: Prove that:
(a1/a2 + a2/a3 + ... + an-1/an + an/a1)>= n
*a1 , a2 , ... , an-1 , an are not a*1 , a*2 , ... , a*n . They are parameters, or indexes (in the bottom right corner of the number)

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming are positive (otherwise the inequality might not hold), then by the AM-GM inequality we have



Right-hand side equals 1.





as desired.