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If p,q and r (pneq) are terms ( not nece...

If p,q and r (`pneq`) are terms ( not necessarily consecutive) of an A.P., then prove that there exists a rational number k such that `(r-q)/(q-p)`=k. hence, prove that the numbers `sqrt2,sqrt3 and sqrt5` cannot be the terms of a single A.P. with non-zero common difference.

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