(B)2(C)3A, A are the tuo A Ms between two numbern a and b and G, G, be

1.	(B)2(C)3A, A are the tuo A Ms between two numbern a and b and G, G, be tuo GMs between same tuonumbers, thenG, G
Answer» A1 , A2 are inserted bw a,b ... total terms now are 4 ... let common difference is d then a+(n-1)d = b a+(4-1)d = b 3d = b-a .................1 second term is A1 = a+d third term is A2 = a+2d A1+A2 = 2a+3d = 2a+b-a (by using 1) =a+b now if A1,A2 are Gm's bw a,b then arn-1= b ar3= b r3= b/a ............2 2nd term is A1 = ar third term is A2 = ar2 A1A2 = a2r3= ab (by using 2) now A1+A2/A1A2 = a+b/ab

(B)2(C)3A, A are the tuo A Ms between two numbern a and b and G, G, be tuo GMs between same tuonumbers, thenG, G

Answer»

A1 , A2 are inserted bw a,b ...

total terms now are 4 ...

let common difference is d then

a+(n-1)d = b

a+(4-1)d = b

3d = b-a .................1

second term is A1 = a+d

third term is A2 = a+2d

A1+A2 = 2a+3d = 2a+b-a (by using 1)

=a+b

now if A1,A2 are Gm's bw a,b then

arn-1= b

ar3= b

r3= b/a ............2

2nd term is A1 = ar

third term is A2 = ar2

A1A2 = a2r3= ab (by using 2)

now A1+A2/A1A2 = a+b/ab