Let the positive numbers a, b, c. Prove that (a^(2013)+b^(2013)+c^(2013) )/(a^(2012)+b^(2012)+c^(2012)) \geq (a+b+c)/(3\\)

Question

Let the positive numbers a, b, c. Prove that
`(a^(2013)+b^(2013)+c^(2013) )/(a^(2012)+b^(2012)+c^(2012)) \geq (a+b+c)/(3\\)`

Answer 1

I don't need to prove it, I already believe you