Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is
A
2 – 
B
2 + 
C
D
3 + 
Text Solution
Verified by ExpertsThe correct answer is:
B
a a 1 ar 2 G. P. ; a 2ar ar 2 A. P.
L 1 ar = a + ar 2 ; 4r = 1 + r 2
r 2 – 4r + 1 = 0 ; 
= 2 + 
, 2 – 
But r > 1 r = 2+ 
──────────────────────────────────────────────────────────────────────────────────────────
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…
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 …