Sequences and Series PYQs - Last 10 Years
JEE Advanced / Mathematics / Algebra / 13 recent questions
MathematicsAlgebra2014-2023
Practice 13 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.
13
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Mathematics / Algebra
2014-2023
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7
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2019-2023
13
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2014-2023
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13PYQs
INTEGER76.9%
MCQM15.4%
MCQ7.7%
Difficulty Mix
#1 Medium10
#2 Hard3
7 in last 5 years13 in last 10 years
Last 10 Years Sequences and Series Questions
Showing 13 of 13 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
8Sequences And Series
Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ...., and Y be the set consisting of the first 2018 terms of the arithmetic progression 9, 16, 23, .... . Then, the number of elements in the set X ...
INTEGER+3 / -02018
9Sequences And Series
The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?
INTEGER+3 / -02017
10Sequences And Series
Let bi > 1 for I = 1, 2, ......, 101. Suppose logeb1, logeb2, ......., logeb101 are in Arithmetic Progression (A.P.) with the common difference loge2. Suppose a1, a2, ......, a101 are in A.P. such that a1 = b1 and a51 = b51. If t = b1 + b2 ...
MCQ+3 / -12016
11Sequences And Series
The coefficient of \({x^9}\) in the expansion of (1 + x) (1 + \({x^2)}\) (1 + \({x^3}\)) ....\((1 + {x^{100}})\) is
INTEGER+4 / -02015
12Sequences And Series
Suppose that all the terms of an arithmetic progression (A.P) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6 : 11 and the seventh term lies in between 130 and 140, then the co...
INTEGER+4 / -02015
13Sequences And Series
Let a, b, c be positive integers such that \({b \over a}\) is an integer. If a, b, c are in geometric progression and the arithmetic mean of a, b, c is b + 2, then the value of \({{{a^2} + a - 14} \over {a + 1}}\) is
INTEGER+3 / -02014