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Question 210024
JEE Mathematics · Hard

Sequences and Series: Relation AM-GM-HM MCQ

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Relation AM-GM-HMHardQuestion 210024

Question

For positive reals, the correct order is:
  1. A
    HM ≤ GM ≤ AM
    Correct
  2. B
    AM ≤ GM ≤ HM
  3. C
    GM ≤ AM ≤ HM
  4. D
    HM = GM = AM

Correct answer

HM ≤ GM ≤ AM

Explanation

For positive reals: HM ≤ GM ≤ AM, with equality iff all values are equal.

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