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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Let a1,a2,a3,…a_1, a_2, a_3, \ldots be terms are in AP\mathrm{AP}, if a1+a2+…+apa1+a2+…+aq=p2q2,p≠q\frac{a_1+a_2+\ldots+a_p}{a_1+a_2+\ldots+a_q}=\frac{p^2}{q^2}, p \neq q, then a6a21\frac{a_6}{a_{21}} equals
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Correct option: D
1141\frac{11}{41}
Option D (1141\frac{11}{41}) is correct because by using the formula for the sum of an AP and substituting p=11 and q=41, we can find the ratio of a6/a21.

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