Sequences and Series

JEE Advanced · Mathematics · 25 past questions

5 of 25 · show all

1. Q1 2023 Paper 1

   Let $7\overbrace{5\cdots5}^{r}7$ denote the $(r+2)$ digit number where the first and the last digits are 7…

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2. Q2 2022 Paper 1

   Let $a_1, a_2, a_3, \ldots$ be an arithmetic progression with $a_1 = 7$ and common difference $8$. Let…

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3. Q4 2019 Paper 1

   Let $\alpha$ and $\beta$ be the roots of $x^2-x-1=0$, with $\alpha>\beta$. For all positive integers $n$…

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4. Q11 2013 Paper 1

   Let $S_n=\sum_{k=1}^{4n}(-1)^{\frac{k(k+1)}{2}}k^2$. Then $S_n$ can take value(s)

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5. Q16 2010 Paper 1

   Let $S_k$, $k = 1, 2, \ldots, 100$, denote the sum of the infinite geometric series whose first term is…

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