Question

If 1st and (2n-1)th term A.P, G.P,H.P are equal
Find relation​

Answer 1

Step-by-step explanation:

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11th

Maths

Sequences and Series

Arithmetic Progression

If first and (2n - 1)th t...

MATHS

If first and (2n−1)

th

terms of an A.P., G.P. and H.P. are equal and their n

th

terms are a, b, c respectively, then

This question has multiple correct options

December 30, 2019avatar

Angelic Meghashyam

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ANSWER

Given first and (2n−1)

th

terms of AP,GP and HP are equal.

And n

th

terms are a,b and c respectively.

Let first and (2n−1)

th

terms are x and y respectively.

⇒a=

2

x+y

⇒b=

xy

⇒c=

x+y

2xy

∴a≥b≥c and b

2

=ac Since, AM≥GM≥HM and GM

2

=(AM)(HM)

Hence, options B and D.