Sequences Series : Arithmetic Progression

Question 4
a, b, c are three distinct numbers such that log a, log b and log c are in AP. a, b, c are all greater than 1.

1. a + b > 2c
2. a + c > 2b
3. a + c > 2a
4. None of the above

Correct Answer is a + c > 2b. Choice (2)

Explanatory Answer

Log a, log b and log c are in AP implies a, b, c are in GP.

a, b c are positive numbers so the A.M. - G.M. inequality holds good.

or or a + c > 2b.

Choice (2)

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AIEEE Math Problems, Practice Questions and Answers : Listed Topicwise

Sets, Relations & Functions		Permutation Combination		Sequences & Series
Limits, Continuity & Differentiability		Statistics & Probability		Trigonometry
Mathematical Reasoning