Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If 
are the two A.M.'s between two numbers 
and 
and 
be two G.M.'s between same two numbers, then 
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Given that 
are in A.P.
Therefore 
or 
…..(i)
and 
are in G.P.
Therefore 
…..(ii)
Hence 
Trick : Let 
, then 
and 
, which is given by .
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
The first three terms of a geometric sequence are x, y, z and these have the sum equal to 42. If th…
In a sequence of (4n + 1) terms, the first (2n+1) terms are in A.P., whose common difference is 2 a…
If a, b, c are non-zero real numbers such that 3(a 2 + b 2 + c 2 + 1) = 2 (a + b + c + ab + bc + ca…
If A.M., G.M. and H.M. of first and last terms of the series 100, 101, 102,…. n –1, n are the terms…
If a, b, c be the p th , q th and r th terms respectively of an AP and GP both, then the product of…
If log , log and log are in AP, where a, b, c are in GP, then a,b,c are the lengths of sides of