A) \[2\sqrt{ab}>(a+b)\]
B) \[2\sqrt{ab}<(a+b)\]
C) \[2\sqrt{ab}=(a+b)\]
D) None of these
Correct Answer: B
Solution :
We know that \[A>G>H\] Where \[A\] is arithmetic mean, \[G\] is geometric mean and \[H\] is harmonic mean, then \[{{S}_{n}}=\frac{1}{4}n\,(n+1)\,(n+2)(n+3)\] \[\Rightarrow \] or \[(a+b)>2\sqrt{ab}\].You need to login to perform this action.
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