doubt

if x , y , z > 0

then the value of x/y + y/z + z/x lies in the interval

4 Answers

Apply AM-GM inequality to the get the given sum â‰¥ 3.

If a_m is the m ^th term of an A.P then a₁² - a₂² +a₃² -a₄² +.............+ a_2n-1² - a_2n² is equal to

a_r-a_r+1 = constant = a₁-a₂

so S= a₁²-a₂²+a₃²-a₄² + ...

= (a₁ - a₂) ( a₁ + a₂ + ... a_2n) = (a₁- a₂) n [ 2a₁ + (2n-1) (a₂ - a₁) ]

thnks qwerty

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