Sequence and Series PYQs - Last 10 Years
WB JEE / Mathematics / Algebra / 24 recent questions
MathematicsAlgebra2017-2026
Practice 24 WB JEE Mathematics questions from Sequence and Series. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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Mathematics / Algebra
2017-2026
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2022-2026
24
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2017-2026
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MCQ91.7%
MCQM8.3%
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14 in last 5 years24 in last 10 years
Last 10 Years Sequence and Series Questions
Showing 24 of 24 filtered questions.
1Sequence And Series
If $t_n$ denotes the $n^{\text {th }}$ term of an A.P. and $t_p=\frac{1}{q}, t_q=\frac{1}{p}$, then which one of the following options is a root of the equation $(p+2 q-3 r) x^2+(q+2 x-3 p) x+(r+2 p-3 q)=0 ?$
MCQ+1 / -0.252026
2Sequence And Series
Let $a_1, a_2, a_3 \ldots$ are in G.P. such that $n>m, a_n>a_m$ and $a_1+a_n=66, a_2 \cdot a_{n-1}=128$. If $\sum_{r=1}^n a_r=126$, then $n$ is
MCQ+1 / -0.252026
3Sequence And Series
If the sum of ' $n$ ' terms of an A.P. is $3 n^2+5 n$ and its $m$ th term is 164 , then the value of $m$ is
MCQ+1 / -0.252025
4Sequence And Series
If $a, b, c$ are in A.P. and if the equations $(b-c) x^2+(c-a) x+(a-b)=0$ and $2(c+a) x^2+(b+c) x=0$ have a common root, then
MCQ+2 / -0.52025
5Sequence And Series
The sum of the first four terms of an arithmetic progression is 56 . The sum of the last four terms is 112. If its first term is 11, then the number of terms is
MCQ+1 / -0.252025
6Sequence And Series
If \(\alpha_1, \alpha_2, \ldots, \alpha_n\) are in A.P. with common difference \(\theta\), then the sum of the series
$$
\sec \alpha_1 \sec \alpha_2+\sec \alpha_2 \sec \alpha_3+\ldots .+\sec \alpha_{n-1} \sec \alpha_n=k\left(\tan \alpha_n-\...
$$
\sec \alpha_1 \sec \alpha_2+\sec \alpha_2 \sec \alpha_3+\ldots .+\sec \alpha_{n-1} \sec \alpha_n=k\left(\tan \alpha_n-\...
MCQ+2 / -0.52024
7Sequence And Series
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, \mat...
MCQ+1 / -0.252024
8Sequence And Series
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
MCQ+1 / -0.252024
9Sequence And Series
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
MCQ+2 / -0.52023
10Sequence And Series
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?
MCQ+2 / -0.52023
11Sequence And Series
If \(1,{\log _9}({3^{1 - x}} + 2),{\log _3}({4.3^x} - 1)\) are in A.P., then x equals
MCQ+1 / -0.252023
12Sequence And Series
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
MCQ+1 / -0.252023
13Sequence And Series
Let \({a_n} = {({1^2} + {2^2} + .....\,{n^2})^n}\) and \({b_n} = {n^n}(n!)\). Then
MCQ+1 / -0.252022
14Sequence And Series
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
MCQ+1 / -0.252022
15Sequence And Series
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 leng...
MCQ+2 / -0.52021
16Sequence And Series
The digit in the unit's place of the number 1! + 2! + 3! + .... + 99! is
MCQ+1 / -0.252021
17Sequence And Series
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
MCQ+1 / -0.252021
18Sequence And Series
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
MCQ+1 / -0.252021
19Sequence And Series
Let I(n) = nn, J(n) = 13.5 ......... (2n \(-\) 1) for all (n > 1), n \(\in\) N, then
MCQ+1 / -0.252020
20Sequence And Series
If a and b are arbitrary positive real numbers, then the least possible value of \({{6a} \over {5b}} + {{10b} \over {3a}}\) is
MCQ+1 / -0.252020
21Sequence And Series
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
MCQM+2 / -02020
22Sequence And Series
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
MCQM+2 / -02019
23Sequence And Series
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
MCQ+1 / -0.252018
24Sequence And Series
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
MCQ+1 / -0.252017