Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If m is the A. M. of two distinct real numbers l and n( l , n > 1) and G 1 , G 2 and G 3 are three geometric means between l and n, then 
+ 2 
+ 
equals :
Text Solution
Verified by ExpertsThe correct answer is:
B
Sol. M = 
, G 1 , G 2 , G 3 , n are in G.P.
r = 
G 1 = 
G 2 = 
G 3 = 
G 14 + 2G 24 + G 34
= 4 × 
+ 2 4 
+ 4 × 
= 3 n + 2 2 n 2 + n 3
= n ( 2 + 2n + n 2 )
= n ( + n) 2
= 4m 2 n
──────────────────────────────────────────────────────────────────────────────────────────
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
A person is to count 4500 currency notes. Let a n denote the number of notes he counts in the n th …
A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent mon…
Let a n be the n th term of an A.P. If = α and = β , then the common difference of the A.P. is :
The sum of first 20 terms of the sequence 0.7, 0.77, 0.777,....., is
If (10) 9 + 2(11) 1 (10) 8 + 3(11) 2 (10) 7 + . . . . . . . . + 10 (11) 9 = k(10) 9 , then k is equ…
Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new …