Home Maths Sequence and Series ( Progressions ) Arithmetic Progression At what values of parameter ‘a’ are there va…
Maths Sequence and Series ( Progressions ) Arithmetic Progression Single Correct MCQ
Published on: August 13, 2026

At what values of parameter ‘a’ are there values of n such that the numbers :

form an A.P.?

A
a ≤ ≤ 8
B
a ≥ ≥ 8
C
a ≥ ≥ 12
D
a ≤ ≤ 12

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Text Solution

Verified by Experts
The correct answer is:
C

For the given numbers to be in A.P.,

Let

⇒ ⇒

⇒ ⇒

As the sum of a positive number and its reciprocal is always greater than or equal to 2,

and ;

Hence ⇒ ⇒ 12

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