If the p th ,q th r th terms of a G.P. is a,b,c respectively, Prove that a q-r b r-p c p-q =1

If the pth,qth rth terms of a G.P. is a,b,c respectively,

     Prove that  aq-rbr-pcp-q=1

Grade:12th pass

1 Answers

Anil Pannikar AskiitiansExpert-IITB
85 Points
13 years ago

Dear Rohan,


a  = xyp-1  ,  b = xyq-1 and c = xyr-1   here,  x is first term and y is common ratio

aq-r = xq-r * y(p-1)(q-r)

br-p  = xr-p * y(q-1)(r-p)

cp-q = xp-q * y(p-q)(r-1)

multiply all 3 of them, we get RHS,

x0 * y0 = 1

henc proved.



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Anil Pannikar

IIT Bombay


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