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Previous year question hub

Sequence And Series - Algebra - Mathematics Previous Year Questions

Practice Sequence And Series - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

15Papers
15Years
44Questions
1Topics

Sequence And Series question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Sequence And Series. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 44 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 42 95.5%
Subjective 2 4.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
44 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
44 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Sequence And Series
44 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

WB JEE 2025
3 Qs
WB JEE 2024
3 Qs
WB JEE 2023
4 Qs
WB JEE 2022
2 Qs
WB JEE 2021
4 Qs
WB JEE 2020
3 Qs
WB JEE 2019
1 Qs
WB JEE 2018
1 Qs
WB JEE 2017
1 Qs
WB JEE 2016
2 Qs
WB JEE 2012
1 Qs
WB JEE 2011
1 Qs
WB JEE 2010
6 Qs
WB JEE 2009
6 Qs
WB JEE 2008
6 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
WB JEE 202520253View paper
WB JEE 202420243View paper
WB JEE 202320234View paper
WB JEE 202220222View paper
WB JEE 202120214View paper
WB JEE 202020203View paper
WB JEE 201920191View paper
WB JEE 201820181View paper
WB JEE 201720171View paper
WB JEE 201620162View paper
WB JEE 201220121View paper
WB JEE 201120111View paper
WB JEE 201020106View paper
WB JEE 200920096View paper
WB JEE 200820086View paper

All Sequence And Series previous year questions

Practice every matching question in batches of 20, with every available option.

1
2016 · Mathematics · Algebra · Sequence And Series
WB JEE 2016
If a, x are real numbers and | a | < 1, | x | < 1, then 1 + (1 + a) x + (1 + a + a2) x2 + ..... \(\infty\) is equal to
A
\({1 \over {(1 - a)(1 - ax)}}\)
B
\({1 \over {(1 - a)(1 - x)}}\)
C
\({1 \over {(1 - x)(1 - ax)}}\)
D
\({1 \over {(1 + ax)(1 - a)}}\)
Open complete paper
2
2016 · Mathematics · Algebra · Sequence And Series
WB JEE 2016
The sum of n terms of the following series \({1^3} + {3^3} + {5^3} + {7^3} + ...\) is
A
\({n^2}(2{n^2} - 1)\)
B
\({n^3}(n - 1)\)
C
\({n^3} + 8n + 4\)
D
\(2{n^4} + 3{n^2}\)
Open complete paper
3
2017 · Mathematics · Algebra · Sequence And Series
WB JEE 2017
In a GP series consisting of positive terms, each term is equal to the sum of next two terms. Then, the common ratio of this GP series is
A
\({\sqrt 5 }\)
B
\({{\sqrt 5 - 1} \over 2}\)
C
\({{\sqrt 5 } \over 2}\)
D
\({{\sqrt 5 + 1} \over 2}\)
Open complete paper
4
2018 · Mathematics · Algebra · Sequence And Series
WB JEE 2018
Given that n numbers of arithmetic means are inserted between two sets of numbers a, 2b and 2a, b where a, b \(\in\) R. Suppose further that the mth means between these sets of numbers are same, then the ratio a : b equals
A
n \(-\) m + 1 : m
B
n \(-\) m + 1 : n
C
n : n \(-\) m + 1
D
m : n \(-\) m + 1
Open complete paper
5
2019 · Mathematics · Algebra · Sequence And Series
WB JEE 2019
Let x1, x2 be the roots of \({x^2} - 3x + a = 0\) and x3, x4 be the roots of \({x^2} - 12x + b = 0\). If \({x_1} < {x_2} < {x_3} < {x_4}\) and \({x_1},{x_2},{x_3},{x_4}\) are in GP, then ab equals
A
\({{24} \over 5}\)
B
64
C
16
D
8
Open complete paper
6
2020 · Mathematics · Algebra · Sequence And Series
WB JEE 2020
Let I(n) = nn, J(n) = 13.5 ......... (2n \(-\) 1) for all (n > 1), n \(\in\) N, then
A
I(n) > J(n)
B
I(n) < J(n)
C
I(n) = J(n)
D
I(n) = \({1 \over 2}\)J(n)
Open complete paper
7
2020 · Mathematics · Algebra · Sequence And Series
WB JEE 2020
If a and b are arbitrary positive real numbers, then the least possible value of \({{6a} \over {5b}} + {{10b} \over {3a}}\) is
A
4
B
\({6 \over 5}\)
C
\({10 \over 3}\)
D
\({68 \over 15}\)
Open complete paper
8
2020 · Mathematics · Algebra · Sequence And Series
WB JEE 2020
In a certain test, there are n questions. In this test 2n-i students gave wrong answers to at least i questions, where i = 1, 2, ..., n. If the total number of wrong answers given is 2047, then n is equal to
A
10
B
11
C
12
D
13
Open complete paper
9
2021 · Mathematics · Algebra · Sequence And Series
WB JEE 2021
Consider the real valued function h : {0, 1, 2, ...... 100} \(\to\) R such that h(0) = 5, h(100) = 20 and satisfying h(p) = \({1 \over 2}\) {h(p + 1) + h(p \(-\) 1)} for every p = 1, 2 ..... 99. Then the value of h(1) is
A
5.15
B
5.5
C
6
D
6.15
Open complete paper
10
2021 · Mathematics · Algebra · Sequence And Series
WB JEE 2021
Let a, b, c be real numbers, each greater than 1, such that \({2 \over 3}{\log _b}a + {3 \over 5}{\log _c}b + {5 \over 2}{\log _a}c = 3\). If the value of b is 9, then the value of 'a' must be
A
\(\root 3 \of {81}\)
B
\({{27} \over 2}\)
C
18
D
27
Open complete paper
11
2021 · Mathematics · Algebra · Sequence And Series
WB JEE 2021
Three unequal positive numbers a, b, c are such that a, b, c are in G.P. while \(\log \left( {{{5c} \over {2a}}} \right),\log \left( {{{7b} \over {5c}}} \right),\log \left( {{{2a} \over {7b}}} \right)\) are in A.P. Then a, b, c are the lengths of the sides of
A
an isosceles triangle
B
an equilateral triangle
C
a scalene triangle
D
a right-angled triangle
Open complete paper
12
2021 · Mathematics · Algebra · Sequence And Series
WB JEE 2021
The digit in the unit's place of the number 1! + 2! + 3! + .... + 99! is
A
3
B
0
C
1
D
7
Open complete paper
13
2022 · Mathematics · Algebra · Sequence And Series
WB JEE 2022

Let \({a_n} = {({1^2} + {2^2} + .....\,{n^2})^n}\) and \({b_n} = {n^n}(n!)\). Then

A
\({a_n} < {b_n}\forall n\)
B
\({a_n} > {b_n}\forall n\)
C
\({a_n} = {b_n}\) for infinitely many n
D
\({a_n} < {b_n}\) if n be even and \({a_n} > {b_n}\) if n be odd
Open complete paper
14
2022 · Mathematics · Algebra · Sequence And Series
WB JEE 2022

If a, b, c are in G.P. and log a \(-\) log 2b, log 2b \(-\) log 3c, log 3c \(-\) log a are in A.P., then a, b, c are the lengths of the sides of a triangle which is

A
acute angled
B
obtuse angled
C
right angled
D
equilateral
Open complete paper
15
2023 · Mathematics · Algebra · Sequence And Series
WB JEE 2023

If \(1,{\log _9}({3^{1 - x}} + 2),{\log _3}({4.3^x} - 1)\) are in A.P., then x equals

A
\({\log _3}4\)
B
\(1 - {\log _3}4\)
C
\(1 - {\log _4}3\)
D
\({\log _4}3\)
Open complete paper
16
2023 · Mathematics · Algebra · Sequence And Series
WB JEE 2023

Consider a quadratic equation \(a{x^2} + 2bx + c = 0\) where a, b, c are positive real numbers. If the equation has no real root, then which of the following is true?

A
a, b, c cannot be in A.P. or H.P. but can be in G.P.
B
a, b, c cannot be in G.P. or H.P. but can be in A.P.
C
a, b, c cannot be in A.P. or G.P. but can be in H.P.
D
a, b, c cannot be in A.P., G.P. or H.P.
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17
2023 · Mathematics · Algebra · Sequence And Series
WB JEE 2023

If the n terms \({a_1},{a_2},\,......,\,{a_n}\) are in A.P. with increment r, then the difference between the mean of their squares & the square of their mean is

A
\({{{r^2}\{ {{(n - 1)}^2} - 1\} } \over {12}}\)
B
\({{{r^2}} \over {12}}\)
C
\({{{r^2}({n^2} - 1)} \over {12}}\)
D
\({{{n^2} - 1} \over {12}}\)
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18
2023 · Mathematics · Algebra · Sequence And Series
WB JEE 2023

Let \({a_1},{a_2},{a_3},\,...,\,{a_n}\) be positive real numbers. Then the minimum value of \({{{a_1}} \over {{a_2}}} + {{{a_2}} \over {{a_3}}}\, + \,...\, + \,{{{a_n}} \over {{a_1}}}\) is

A
1
B
n
C
nC2
D
2
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19
2024 · Mathematics · Algebra · Sequence And Series
WB JEE 2024

Given an A.P. and a G.P. with positive terms, with the first and second terms of the progressions being equal. If \(a_n\) and \(b_n\) be the \(n^{\text {th }}\) term of A.P. and G.P. respectively then

A
\(a_n>b_n\) for all \(n>2\)
B
\(a_n< b_n\) for all \(n>2\)
C
\(a_n=b_n\) for some \(n>2\)
D
\(a_n=b_n\) for some odd \(n\)
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20
2024 · Mathematics · Algebra · Sequence And Series
WB JEE 2024

If for the series \(a_1, a_2, a_3\), ...... etc, \(\mathrm{a}_{\mathrm{r}}-\mathrm{a}_{\mathrm{r}+\mathrm{i}}\) bears a constant ratio with \(\mathrm{a}_{\mathrm{r}} \cdot \mathrm{a}_{\mathrm{r}+1}\); then \(\mathrm{a}_1, \mathrm{a}_2, \mathrm{a}_3 \ldots .\). are in

A
A.P.
B
G.P.
C
H.P.
D
Any other series
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Showing 20 of 44 questions