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If the pth,qth and rth terms of a G.P are a,b,c resp.Pove that:-
(a^(q-r))(b^(r-p))(c^(p-q))=1
Dear Aparna,
given,
a = xyp-1 , b = xyq-1 and c = xyr-1 here, x is first term and y is common ratio
as, G2 = AH we ahve,
b2=ac
xyq-1
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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Askiitians Expert
Anil Pannikar
IIT Bombay
Just multiply the terms..and find the pth,qth and rth term by using the formula.(take x as the first term)..And then put the values in the expression..u will get (abc)^0 i.e. 1.
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