If \( a, b, c \) are \( p \) th, \( q \) th and \( r \) th terms re...

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If \( a, b, c \) are \( p \) th, \( q \) th and \( r \) th terms respectively of an A.P. prove that
\[
p(b-c)+q(c-a)+r(a-b)=0
\]
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