Question

(p+qth) term of G.P is m and p-qth term is n its pth term is and qth term is

Answer 1

Answer:

Let the first term of G.P be 'a' and common ration be 'r'

given T

p+q

=ar

p+q−1

=m

T

p−q

=ar

p−q−1

=n

then multiplying the above two equations :

mn=a

2

r

2p−2

=(ar

p−1

)

2

⇒ar

p−1

=

mn

but ar

p−1

is the P

th

term of the G.P

hence T

p

=

mn