Maths Sequence and Series ( Progressions ) Relation Between A.P., G.P. and H.P. Single Correct MCQ
Published on: August 14, 2026

If 9 A.M.'s and H.M.'s are inserted between the 2 and 3 and if the harmonic mean is corresponding to arithmetic mean , then

A
1
B
3
C
5
D
6

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Text Solution

Verified by Experts
The correct answer is:
C

Let where denote the 9 A.M.’s and H.M.’s between 2 and 3.

Then are in A.P. Let be the common difference of this A.P. Then

If denotes the arithmetic mean, then

Again will be in H.P.

, will be in A.P.

Let be the common difference of this A.P.

Then

If be the harmonic mean, then

.

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