If the pth and qth terms of a G.P. are q and p respectively, show that (p + q)th term is
Given: pth and qth terms of a G.P. are q and p
Formula Used: Tn = arn-1
So, we get,
q = arp-1 …(1)
p = arq-1…(2)
To Prove:
Proof:
Divide (1) by (2), we get
⇒
⇒
Substituting we get,
⇒
L.H.S = arp+q-1
L.H.S = R.H.S
Hence, Proved.