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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If pth,qth p^{t h}, q^{\text {th }} and rth r^{\text {th }} terms of A.P. a1,a2,a3a_1, a_2, a_3, are in G.P., then ap:aq=a_p: a_q=
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Correct option: C
q−pr−q\frac{q-p}{r-q}
Option C (q−pr−q\frac{q-p}{r-q}) is correct because, by using the properties of arithmetic and geometric progressions, we can derive that apaq=q−pr−q\frac{a_p}{a_q} = \frac{q-p}{r-q}.

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