Published by:
CGP EDU Academic Team
Published on: August 13, 2026
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd number of terms. The middle terms of the three series are in
Text Solution
Verified by ExpertsThe correct answer is:
B
Let
and
be the same first and last terms of the three progressions, each having
terms. Then the middle term of the A.P. is
. The middle term of the G.P. is
. The middle term of the H.P. is
. Obviously, these terms are in G.P.
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