Given: p^th and q^th terms of a G.P. are q and p

Formula Used: T_n = ar^n-1

So, we get,

q = ar^p-1 …(1)

p = ar^q-1…(2)

To Prove:

Proof:

Divide (1) by (2), we get

⇒

⇒

Substituting we get,

⇒

L.H.S = ar^p+q-1

L.H.S = R.H.S

Hence, Proved.