Published by:
CGP EDU Academic Team
Published on: August 13, 2026
At what values of parameter ‘a’ are there values of n such that the numbers :
form an A.P.?
Text Solution
Verified by ExpertsThe 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
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If first, fifth and last terms of an A.P. is λ , m, p respectively and sum of the A.P. is then k i…
If a 1 , a 2 , a 3 ,……. are in A.P. and a i > 0 for each i, then
is equal to -
Let a n be the n th term of an A.P. If = α & = β , then the common difference of the A.P. is
If n– arithmetic means are inserted between 1 and 31 such that the 7 th mean : the (n–1) th mean = …
If α & β are the roots of the equation, x 2 –2px + q = 0 and γ and δ be those of the equation, x 2 …
If , b , are in A.P. then a –1 , b , c –1 are in–