Maths Sequence and Series ( Progressions ) Relation Between A.P., G.P. and H.P. Single Correct MCQ
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

A
A.P.
B
G.P.
C
H.P.
D
None of these

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The 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.

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