Question

If first and (2n-1)th terms of an AP,GP and H.P are equal and their n th terms are a,b,c respectively then-

Answer 1

options-
A)a+2b B)a+c=b C)\[a \ge b \ge c\] D)b^2=ac

Answer 2

@ganeshie8 help @hartnn @wio @ParthKohli @paki

Answer 3

@ganeshie8 pls help

Answer 4

Stop spamming chat.

Answer 5

DO U KNOW THE SOLUTION

Answer 6

Yeah.

Answer 7

@wio pls help

Answer 8

Do what everyone else does. Post wait, if it still isn't answered, bump it.

Answer 9

@Skrilluh I don't want ur advice

Answer 10

We don't want your spam.

Answer 11

i asked @wio

Answer 12

@ganeshie8 help

Answer 13

@mathslover help

Answer 14

@wio

Answer 15

@ganeshie8

Answer 16

*Sigh* if i give you the answer will you stop?

Answer 17

yeah sure

Answer 18

B

Answer 19

@skillruh answer is wrong

Answer 20

@Skrilluh answer is wrong

Answer 21

Okay.

Answer 22

You must not understand the rules of this site...

Answer 23

@ParthKohli

Answer 24

Are you just listing random users?

Answer 25

Note that the \(n\)th term of all the three series is the AM, GM and HM of the first term and the \(2n-1\)th term.

Let the first and \(2n-1\)th terms be \(x,y\).

It is given that:\[\dfrac{x+y}{2} = a\]\[\sqrt{xy} = b\]\[\dfrac{2xy}{x+y}=c\]From this, it is clear that \(b^2 =ac.\)