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Correct option is D)

$p_{th},q_{th},r_{th}$ terms of A.P. are

$a+(p−1)d=x$ (1)

$a+(q−1)d=xR$ (2)

$a+(r−1)d=xR_{2}$ (3)

Where r is common ratio of G.P.

Subtracting (2) from (3) and (1) from (2) and then dividing the former by the later, we have

$p−qq−r =xR−xxR_{2}−xR =R$

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