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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Let a1,a2,a3,….\mathrm{a}_1, \mathrm{a}_2, \mathrm{a}_3, \ldots .. be terms of an A.P. If a1+a2+….+apa1+a2+…..+aq=p2q2\frac{\mathrm{a}_1+\mathrm{a}_2+\ldots .+\mathrm{a}_{\mathrm{p}}}{\mathrm{a}_1+\mathrm{a}_2+\ldots . .+\mathrm{a}_{\mathrm{q}}}=\frac{\mathrm{p}^2}{\mathrm{q}^2}, p≠q\mathrm{p} \neq \mathrm{q}, then a6a21\frac{\mathrm{a}_6}{\mathrm{a}_{21}} equals
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Correct option: D
11/4111 / 41
Option D (11/4111 / 41) is correct because the ratio of the sums simplifies to a ratio of terms involving p and q, leading to the given answer.

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