If and are in A.P., then n =

Maths Permutations & Combination Definition of Combinations, Condition Combinations, Division into Groups, Derangements Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

7 or 14

None of these

Text Solution

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The correct answer is:

Given are in A.P.

⇒ ⇒

⇒ ⇒ ⇒ ⇒ Multiplying throughout by , we get

2 x (n – 4) x 6 = 6 x 5 + (n – 4) (n – 5)

⇒ ⇒ n 2 - 21ln + 98 = 0

⇒ ⇒ (n – 7) (n – 14) = 0

⇒ ⇒ n = 7 or 14.

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