Sequences and Series PYQs - Last 5 Years
JEE Advanced / Mathematics / Algebra / 7 recent questions
MathematicsAlgebra2019-2023
Practice 7 JEE Advanced Mathematics questions from Sequences and Series. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
7
PYQs on Page
Mathematics / Algebra
2019-2023
Year Range
Based on indexed question metadata
7
Last 5 Years
2019-2023
7
Last 10 Years
2014-2023
Recent Year Trend
2019
2020
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2022
2023Latest year
20192 max PYQs/year2023
Question Types
7PYQs
INTEGER71.4%
MCQM28.6%
Difficulty Mix
#1 Medium4
#2 Hard3
7 in last 5 years7 in last 10 years
Last 5 Years Sequences and Series Questions
Showing 7 of 7 filtered questions.
1Sequences And Series
Let $7 \overbrace{5 \cdots 5}^r 7$ denote the $(r+2)$ digit number where the first and the last digits are 7 and the remaining $r$ digits are 5 . Consider the sum $S=77+757+7557+\cdots+7 \overbrace{5 \cdots 5}^{98}7$. If $S=\frac{7 \overbra...
INTEGER+4 / -02023
2Sequences And Series
Let \(a_{1}, a_{2}, a_{3}, \ldots\) be an arithmetic progression with \(a_{1}=7\) and common difference 8. Let \(T_{1}, T_{2}, T_{3}, \ldots\) be such that \(T_{1}=3\) and \(T_{n+1}-T_{n}=a_{n}\) for \(n \geq 1\). Then, which of the followi...
MCQM+4 / -22022
3Sequences And Series
Let \(l_{1}, l_{2}, \ldots, l_{100}\) be consecutive terms of an arithmetic progression with common difference \(d_{1}\), and let \(w_{1}, w_{2}, \ldots, w_{100}\) be consecutive terms of another arithmetic progression with common differenc...
INTEGER+3 / -02022
4Sequences And Series
For any positive integer n, let Sn : (0, \(\infty\)) \(\to\) R be defined by \({S_n}(x) = \sum\nolimits_{k = 1}^n {{{\cot }^{ - 1}}\left( {{{1 + k(k + 1){x^2}} \over x}} \right)}\), where for any x \(\in\) R, $${\cot ^{ - 1}}(x) \in (0,\pi...
MCQM+4 / -22021
5Sequences And Series
Let m be the minimum possible value of \({\log _3}({3^{{y_1}}} + {3^{{y_2}}} + {3^{{y_3}}})\), where \({y_1},{y_2},{y_3}\) are real numbers for which \({{y_1} + {y_2} + {y_3}}\) = 9. Let M be the maximum possible value of $$({\log _3}{x_1} ...
INTEGER+4 / -02020
6Sequences And Series
Let a1, a2, a3, .... be a sequence of positive integers in arithmetic progression with common difference 2. Also, let b1, b2, b3, .... be a sequence of positive integers in geometric progression with common ratio 2. If a1 = b1 = c, then the...
INTEGER+4 / -02020
7Sequences And Series
Let AP(a; d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d > 0. If \(AP(1;3) \cap AP(2;5) \cap AP(3;7)\) = AP(a ; d), then a + d equals ..............
INTEGER+3 / -02019