Q. 85.0( 2 Votes )

Mark the correct A.

B.

C. pqr

D. none of these

Answer :

Let the first term of AP be a and the common difference be d.


An = a+(n-1)d


pth term is a+(p-1)d.


qth term is a+(q-1)d.


rth term is a+(r-1)d.


As they are in GP.


Let the first term be A and common ratio be R.


a+(p-1)d =A…(1)


a+(q-1)d =AR…(2)


a+(r-1)d =AR2…(3)


Subtracting 2 from 1 we get…


AR-A = a+(q-1)d-(a+(p-1)d)


= a+qd-d-a-pd+d


AR-A =qd-pd…


Subtracting 2 from 1 we get…


AR2-AR = a+(r-1)d-(a+(q-1)d)


= a+rd-d-a-qd+d


R(AR-A) =rd-qd.



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