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Previous year question hub

Sequences And Series - Algebra - Mathematics Previous Year Questions

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

47Papers
40Years
73Questions
1Topics

Sequences And Series question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 41 56.2%
Easy 18 24.7%
Hard 7 9.6%
Not classified 7 9.6%

Question type distribution

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

MCQ 34 46.6%
Subjective 15 20.5%
Numerical Answer Type (NAT) 15 20.5%
MSQ 7 9.6%
Fill in the blanks 2 2.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
73 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
73 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Sequences And Series
73 Qs

Paper coverage

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

JEE ADVANCED 2023 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
2 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2015 PAPER 2 OFFLINE
2 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2013 PAPER 1 OFFLINE
2 Qs
IIT JEE 2012 PAPER 2 OFFLINE
1 Qs
IIT JEE 2011 PAPER 1 OFFLINE
1 Qs
IIT JEE 2010 PAPER 1 OFFLINE
1 Qs
IIT JEE 2010 PAPER 2 OFFLINE
1 Qs
IIT JEE 2009 PAPER 2 OFFLINE
1 Qs
IIT JEE 2008 PAPER 1 OFFLINE
1 Qs
IIT JEE 2008 PAPER 2 OFFLINE
1 Qs
IIT JEE 2007 PAPER 1 OFFLINE
3 Qs
IIT JEE 2007 PAPER 2 OFFLINE
3 Qs
IIT JEE 2005 MAINS
1 Qs
IIT JEE 2005 SCREENING
1 Qs
IIT JEE 2004 SCREENING
1 Qs
IIT JEE 2003
1 Qs
IIT JEE 2002
1 Qs
IIT JEE 2002 SCREENING
1 Qs
IIT JEE 2001 SCREENING
3 Qs
IIT JEE 2001
1 Qs
IIT JEE 2000
1 Qs
IIT JEE 2000 SCREENING
1 Qs
IIT JEE 1999
4 Qs
IIT JEE 1998
3 Qs
IIT JEE 1997
1 Qs
IIT JEE 1996
2 Qs
IIT JEE 1994
1 Qs
IIT JEE 1993
1 Qs
IIT JEE 1992
1 Qs
IIT JEE 1991
2 Qs
IIT JEE 1990
2 Qs
IIT JEE 1988
3 Qs
IIT JEE 1986
1 Qs
IIT JEE 1985
2 Qs
IIT JEE 1984
3 Qs
IIT JEE 1983
2 Qs
IIT JEE 1982
3 Qs
IIT JEE 1980
1 Qs
IIT JEE 1979
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE ADVANCED 2023 PAPER 1 ONLINE20231View paper
JEE ADVANCED 2022 PAPER 1 ONLINE20222View paper
JEE ADVANCED 2021 PAPER 1 ONLINE20211View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE20202View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE20191View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE20181View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE20171View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE20161View paper
JEE ADVANCED 2015 PAPER 2 OFFLINE20152View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE20141View paper
JEE ADVANCED 2013 PAPER 1 OFFLINE20132View paper
IIT JEE 2012 PAPER 2 OFFLINE20121View paper
IIT JEE 2011 PAPER 1 OFFLINE20111View paper
IIT JEE 2010 PAPER 1 OFFLINE20101View paper
IIT JEE 2010 PAPER 2 OFFLINE20101View paper
IIT JEE 2009 PAPER 2 OFFLINE20091View paper
IIT JEE 2008 PAPER 1 OFFLINE20081View paper
IIT JEE 2008 PAPER 2 OFFLINE20081View paper
IIT JEE 2007 PAPER 1 OFFLINE20073View paper
IIT JEE 2007 PAPER 2 OFFLINE20073View paper
IIT JEE 2005 MAINS20051View paper
IIT JEE 2005 SCREENING20051View paper
IIT JEE 2004 SCREENING20041View paper
IIT JEE 200320031View paper
IIT JEE 200220021View paper
IIT JEE 2002 SCREENING20021View paper
IIT JEE 200120011View paper
IIT JEE 2001 SCREENING20013View paper
IIT JEE 200020001View paper
IIT JEE 2000 SCREENING20001View paper
IIT JEE 199919994View paper
IIT JEE 199819983View paper
IIT JEE 199719971View paper
IIT JEE 199619962View paper
IIT JEE 199419941View paper
IIT JEE 199319931View paper
IIT JEE 199219921View paper
IIT JEE 199119912View paper
IIT JEE 199019902View paper
IIT JEE 198819883View paper
IIT JEE 198619861View paper
IIT JEE 198519852View paper
IIT JEE 198419843View paper
IIT JEE 198319832View paper
IIT JEE 198219823View paper
IIT JEE 198019801View paper
IIT JEE 197919791View paper

All Sequences And Series previous year questions

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

1
1979 · Mathematics · Algebra · Sequences And Series
IIT JEE 1979
The harmonic mean of two numbers is 4.Their arithmetic mean \(A\) and the geometric mean \(G\) satisfy the relation. \(2A + {G^2} = 27\)
Open complete paper
2
1980 · Mathematics · Algebra · Sequences And Series
IIT JEE 1980
The interior angles of a polygon are in arithmetic progression. The smallest angle is \({120^ \circ }\), and the common difference is \({5^ \circ }\), Find the number of sides of the polygon.
Open complete paper
3
1982 · Mathematics · Algebra · Sequences And Series
IIT JEE 1982
If \(x,\,y\) and \(z\) are \(pth\), \(qth\) and \(rth\) terms respectively of an A.P. and also of a G.P., then \({x^{y - z}}\,{y^{z - x}}\,{z^{x - y}}\) is equal to :
Open complete paper
4
1982 · Mathematics · Algebra · Sequences And Series
IIT JEE 1982
The third term of a geometric progression is 4. The product of the first five terms is
Open complete paper
5
1982 · Mathematics · Algebra · Sequences And Series
IIT JEE 1982
Does there exist a geometric progression containing \(27, 8\) and \(12\) as three of its terms? If it exits, how many such progressions are possible ?
Open complete paper
6
1983 · Mathematics · Algebra · Sequences And Series
IIT JEE 1983
Find three numbers \(a,b,c\) between \(2\) and \(18\) such that
(i) their sum is \(25\)
(ii) the numbers \(2,\) \(a, b\) are consecutive terms of an A.P. and
(iii) the numbers \(b,c,18\) are consecutive terms of a G.P.
Open complete paper
7
1983 · Mathematics · Algebra · Sequences And Series
IIT JEE 1983
The rational number, which equals the number \(2\overline {357}\) with recurring decimal is
Open complete paper
8
1984 · Mathematics · Algebra · Sequences And Series
IIT JEE 1984
If \(a > 0,\,b > 0\) and \(\,c > 0,\) prove that \(\,c > 0,\) prove that \(\left( {a + b + c} \right)\left( {{1 \over a} + {1 \over b} + {1 \over c}} \right) \ge 9\)
Open complete paper
9
1984 · Mathematics · Algebra · Sequences And Series
IIT JEE 1984
If \(n\) is a natural number such that
\(n = {p_1}{}^{{\alpha _1}}{p_2}{}^{{\alpha _2}}.{p_3}{}^{{\alpha _3}}........{p_k}{}^{{\alpha _k}}\) and \({p_1},{p_2},\,\,......,\,{p_k}\) are distinct primes, then show that \(In\) \(n \ge k\) \(in\) 2
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10
1984 · Mathematics · Algebra · Sequences And Series
IIT JEE 1984
The sum of integers from 1 to 100 that are divisible by 2 or 5 is ............
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11
1985 · Mathematics · Algebra · Sequences And Series
IIT JEE 1985
If \(a,\,b,\,c\) are in GP., then the equations \(\,\,\alpha {x^2} + 2bx + c = 0\) and \(d{x^2} + 2ex + f = 0\) have a common root if \({d \over a},\,{e \over b},{f \over c}\) are in ________.
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12
1985 · Mathematics · Algebra · Sequences And Series
IIT JEE 1985
Find the sum of the series : \(\sum\limits_{r = 0}^n {{{\left( { - 1} \right)}^r}\,{}^n{C_r}\left[ {{1 \over {{2^r}}} + {{{3^r}} \over {{2^{2r}}}} + {{{7^r}} \over {{2^{3r}}}} + {{{{15}^r}} \over {{2^{4r}}}}..........up\,\,to\,\,m\,\,terms} \right]}\)
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13
1986 · Mathematics · Algebra · Sequences And Series
IIT JEE 1986
The solution of the equation \(lo{g_7}\) \(lo{g_5}\) \(\left( {\sqrt {x + 5} + \sqrt x } \right) = 0\) is .............
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14
1988 · Mathematics · Algebra · Sequences And Series
IIT JEE 1988
If the first and the \((2n-1)\)st terms of an A.P., a G.P. and an H.P. are equal and their \(n\)-th terms are \(a,b\) and \(c\) respectively, then
Open complete paper
15
1988 · Mathematics · Algebra · Sequences And Series
IIT JEE 1988
Sum of the first n terms of the series \({1 \over 2} + {3 \over 4} + {7 \over 8} + {{15} \over {16}} + ............\) is equal to
Open complete paper
16
1988 · Mathematics · Algebra · Sequences And Series
IIT JEE 1988
The sum of the first n terms of the series \({1^2} + {2.2^2} + {3^2} + {2.4^2} + {5^2} + {2.6^2} + .........\) is
\(n\,\,{\left( {n + 1} \right)^2}/2,\) when \(n\) is even. When \(n\) is odd, the sum is .............
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17
1990 · Mathematics · Algebra · Sequences And Series
IIT JEE 1990
If \({\log _3}\,2\,,\,\,{\log _3}\,({2^x} - 5)\,,\,and\,\,{\log _3}\,\left( {{2^x} - {7 \over 2}} \right)\) are in arithmetic progression, determine the value of x.
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18
1990 · Mathematics · Algebra · Sequences And Series
IIT JEE 1990
The number \({\log _2}\,7\) is
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19
1991 · Mathematics · Algebra · Sequences And Series
IIT JEE 1991
Let p be the first of the n arithmetic means between two numbers and q the first of n harmonic means between the same numbers. Show that q does not lie between p and \(\,{\left( {{{n + 1} \over {n - 1}}} \right)^2}\,p\).
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20
1991 · Mathematics · Algebra · Sequences And Series
IIT JEE 1991
If \({S_1}\), \({S_2}\), \({S_3}\),.............,\({S_n}\) are the sums of infinite geometric series whose first terms are 1, 2, 3, ...................,n and whose common ratios are \({1 \over 2}\), \({1 \over 3}\), \({1 \over 4}\),....................\(\,{1 \over {n + 1}}\) respectively, then find the values of \({S_1}^2 + {S_2}^2 + {S_3}^2 + ....... + {S^2}_{2n - 1}\)
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Showing 20 of 71 questions