Let a1 , a2 , a3 ,… be an A.P, such that 3 1 2 3 123 … ; … + ++ = ¹ + + ++ p q aa a p p q aa a a q . Then 6 21 a a is equal to:

Question:

Let $a_{1}, a_{2}, a_{3}, \ldots$ be an A.P, such that $\frac{a_{1}+a_{2}+\ldots+a_{p}}{a_{1}+a_{2}+a_{3}+\ldots+a_{q}}=\frac{p^{3}}{q^{3}} ; p \neq q$. Then $\frac{a_{6}}{a_{21}}$ is equal to:

  1. $\frac{41}{11}$

  2. $\frac{31}{121}$

  3. $\frac{11}{41}$

  4. $\frac{121}{1861}$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sequences and Series chapter.
JEE Main Previous Year Online April 9, 2013

Solution:

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