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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.

9Papers
9Years
10Questions
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 8 80%
Easy 1 10%
Hard 1 10%

Question type distribution

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

Subjective 6 60%
Fill in the blanks 2 20%
Numerical Answer Type (NAT) 2 20%

Subject weightage

Top subjects by unique question coverage.

Mathematics
10 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
10 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Sequences And Series
10 Qs

Paper coverage

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

JEE ADVANCED 2018 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
1 Qs
IIT JEE 2001
1 Qs
IIT JEE 1996
2 Qs
IIT JEE 1991
1 Qs
IIT JEE 1988
1 Qs
IIT JEE 1985
1 Qs
IIT JEE 1982
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 2018 PAPER 1 OFFLINE20181View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE20171View paper
IIT JEE 200120011View paper
IIT JEE 199619962View paper
IIT JEE 199119911View paper
IIT JEE 198819881View paper
IIT JEE 198519851View paper
IIT JEE 198219821View 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. \(2A + {G^2} = 27\)
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2
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 ?
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3
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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4
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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5
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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6
1996 · Mathematics · Algebra · Sequences And Series
IIT JEE 1996
The real numbers \({x_1}\), \({x_2}\), \({x_3}\) satisfying the equation \({x^3} - {x^2} + \beta x + \gamma = 0\) are in AP. Find the intervals in which \(\beta \,\,and\,\gamma\) lie.
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7
1996 · Mathematics · Algebra · Sequences And Series
IIT JEE 1996
For any odd integer \(n\) \(\ge 1,\,\,{n^3} - {\left( {n - 1} \right)^3} + .... + {\left( { - 1} \right)^{n - 1}}\,{1^3} = ........\)
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8
2001 · Mathematics · Algebra · Sequences And Series
IIT JEE 2001
Let \({a_1}\), \({a_2}\),.....,\({a_n}\) be positive real numbers in geometric progression. For each n, let \({A_n}\), \({G_n}\), \({H_n}\) be respectively, the arithmetic mean , geometric mean, and harmonic mean of \({a_1}\),\({a_2}\)......,\({a_n}\). Find an expression for the geometric mean of \({G_1}\),\({G_2}\),.....,\({G_n}\) in terms of \({A_1}\),\({A_2}\),.....,\({A_n}\),\({H_n}\),\({H_1}\),\({H_2}\),........,\({H_n}\).
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9
2017 · Mathematics · Algebra · Sequences And Series
JEE ADVANCED 2017 PAPER 1 OFFLINE
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?
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10
2018 · Mathematics · Algebra · Sequences And Series
JEE ADVANCED 2018 PAPER 1 OFFLINE
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 \(\cup\) Y is .........
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