Sequence And Series Question 200
Question: If $ a $ and $ b $ are two different positive real numbers, then which of the following relations is true
[MP PET 1982; MP PET 2002]
Options:
A) $ 2\sqrt{ab}>(a+b) $
B) $ 2\sqrt{ab}<(a+b) $
C) $ 2\sqrt{ab}=(a+b) $
D) None of these
Show Answer
Answer:
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} $ .
BETA
