If the first and the (2n – 1) th term of an AP, GP and HP are equal and their nth terms…

Mathematics · JEE Advanced · NTA ExamsProgression and Series

If the first and the (2n – 1) th term of an AP, GP and HP are equal and their nth terms are a, b and c respectively, then which of the following may be correct.
  1. a = b = c
  2. a b c
  3. a + c = b
  4. ac – b2 = 0

Answer

(A) a = b = c, (B) a ≥ b ≥ c, (D) ac – b 2 = 0

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