Question

If pth, qth, rth terms of a G.P. are a, b, c respectively, then prove that the value of a^q-r b^r-p c^p-q is 1


help me plz
don't post useless stuff​

Answer 1

*Answer:→

Let A be first term of GP with common ratio R.

The nth term, An = ARn-1

pth term= ARp-1 = a

qth term= ARq-1 = b

rth term= ARr-1 = c

aq-r.br-p.cp-q = (ARp-1)q-r (ARq-1)r-p(ARr-1)p-q

= Aq-r+r-p+p-q R(p-1)(q-r)+(q-1)(r-p)+(r-1)(p-q)

= A0 Rpq-pr-q+r+qr-r-pq+p+pr-p-qr+q

= A0R0

= 1

Please mark it as brainliest