JEE Advanced Model Paper 17 with solutions for online practice

Let x be the first term and y be the common difference of H.P. then

1

a

=

1

x

+ (p - 1) y ;

1

b

=

1

x

+ (q - 1) y ;

1

x

=

1

x

+ (r - 1) y
Common ratio =

r−q

q−p

=

1 c − 1 b

1 b − 1 a

=

q

p

=

r

q

⇒ Common ratio =

q

r

=

r

q

=

(b−c)a

(a−b)c

=

r−q

q−p