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If first and (2n-1)^(th) terms of A.P., ...

If first and `(2n-1)^(th)` terms of A.P., G.P. and H.P. are equal and their nth terms are a,b,c respectively, then

A

`a=b=c`

B

`agebgec`

C

`a+c=b`

D

`ac-b^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
B, D
In a AP of `(2n-1)` terms, nth term =a
In a GP of `(2n-1)` terms, nth term =b
In a HP of `(2n-1)` terms, nth term =c
a,b,c will be arithmetic mean, geometric mean, harmonic mean, respectively.
So, `a ge b gec` and `b^(2)=ac`
.
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