Sequences & Series · JEE Main previous year questions

2016 2 questions

1. Q42016 · 3 Apr 2016 · Shift 1

   If the $2^{nd},5^{th}and{9}^{th}$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :

   1. A.$1$
   2. B.$\frac{7}{4}$
   3. C.$\frac{8}{5}$
   4. D.$\frac{4}{3}$
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   Answer: D

2. Q212016 · 3 Apr 2016 · Shift 1

   If the sum of the first ten terms of the series ${\left(1\frac{3}{5}\right)}^2+{\left(2\frac{2}{5}\right)}^2+{\left(3\frac{1}{5}\right)}^2+4^2+{\left(4\frac{4}{5}\right)}^2+\dots \dots$ is $\frac{16}{5}m$, then m is equal to :

   1. A.$100$
   2. B.$99$
   3. C.$102$
   4. D.$101$
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   Answer: D