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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: if the pth,qth and rth terms of a H.P be respectively a,b and c then(q-r)bc+(r-p)ca+(p-q)a
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allamraju (3422)

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Olaaa!! Perrrfect answer. 606  [802 rates]

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We have,1/a=k+(p-1)d,1/b=k+(q-1)d,1/c=k+(r-1)d

Given,(q-r)bc=(abc)[q-r/a]

=(abc)(q-r)[k+(p-1)d]

=(abc)[k(q-r)+d(p-1)(q-r)]

But,(q-r)=0 and (p-1)(q-r)=p(q-r)-(q-r)=0-0=0.

So,the ans is (abc)[0+0]=0.

MAKING A MISTAKE IS HUMAN BUT REPEATING IT IS IDIOTIC.
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