Sequences and Series

JEE Advanced · Mathematics · 25 past questions

7 of 25 · show all

1. Q5 2019 Paper 1

   Let $AP(a;d)$ denote the set of all the terms of an infinite arithmetic progression with first term $a$ and…

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2. Q6 2018 Paper 1

   Let $X$ be the set consisting of the first 2018 terms of the arithmetic progression $1, 6, 11, \dots$, and…

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3. Q9 2015 Paper 2

   Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum…

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4. Q12 2013 Paper 1

   A pack contains $n$ cards numbered from 1 to $n$. Two consecutive numbered cards are removed from the pack…

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5. Q14 2011 Paper 1

   Let $a_1, a_2, a_3, \ldots, a_{100}$ be an arithmetic progression with $a_1 = 3$ and…

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6. Q17 2010 Paper 2

   Let $a_1, a_2, a_3, \ldots, a_{11}$ be real numbers satisfying…

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7. Q18 2009 Paper 2

   If the sum of first $n$ terms of an A.P. is $cn^2$, then the sum of squares of these $n$ terms is

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