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Previous year question hub

Sequences & Series PYQs - Algebra Mathematics

Practice Sequences And Series previous year questions for AP EAPCET Mathematics (Algebra). 19 papers, 32 MCQs from 4 years - PYQ practice tests.

19Papers
4Years
32Questions
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.

Not classified 32 100%

Question type distribution

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

Multiple Choices 32 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
32 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
32 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Sequences And Series
32 Qs

Paper coverage

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

AP EAPCET 2025 23RD MAY MORNING SHIFT
3 Qs
AP EAPCET 2025 21ST MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 21ST MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 22ND MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 22ND MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 23RD MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 26TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 26TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 19TH MAY EVENING SHIFT
3 Qs
AP EAPCET 2024 21TH MAY EVENING SHIFT
3 Qs
AP EAPCET 2024 22TH MAY MORNING SHIFT
3 Qs
AP EAPCET 2024 20TH MAY EVENING SHIFT
2 Qs
AP EAPCET 2024 20TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 21TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2024 23TH MAY MORNING SHIFT
2 Qs
AP EAPCET 2022 5TH JULY MORNING SHIFT
1 Qs
AP EAPCET 2021 19TH AUGUST EVENING SHIFT
2 Qs
AP EAPCET 2021 19TH AUGUST MORNING SHIFT
1 Qs
AP EAPCET 2021 20TH AUGUST EVENING SHIFT
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
AP EAPCET 2025 21ST MAY EVENING SHIFT20251View paper
AP EAPCET 2025 21ST MAY MORNING SHIFT20251View paper
AP EAPCET 2025 22ND MAY EVENING SHIFT20251View paper
AP EAPCET 2025 22ND MAY MORNING SHIFT20251View paper
AP EAPCET 2025 23RD MAY EVENING SHIFT20251View paper
AP EAPCET 2025 23RD MAY MORNING SHIFT20253View paper
AP EAPCET 2025 26TH MAY EVENING SHIFT20251View paper
AP EAPCET 2025 26TH MAY MORNING SHIFT20251View paper
AP EAPCET 2024 19TH MAY EVENING SHIFT20243View paper
AP EAPCET 2024 20TH MAY EVENING SHIFT20242View paper
AP EAPCET 2024 20TH MAY MORNING SHIFT20242View paper
AP EAPCET 2024 21TH MAY EVENING SHIFT20243View paper
AP EAPCET 2024 21TH MAY MORNING SHIFT20242View paper
AP EAPCET 2024 22TH MAY MORNING SHIFT20243View paper
AP EAPCET 2024 23TH MAY MORNING SHIFT20242View paper
AP EAPCET 2022 5TH JULY MORNING SHIFT20221View paper
AP EAPCET 2021 19TH AUGUST EVENING SHIFT20212View paper
AP EAPCET 2021 19TH AUGUST MORNING SHIFT20211View paper
AP EAPCET 2021 20TH AUGUST EVENING SHIFT20211View paper

All Sequences And Series previous year questions

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

1
2021 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2021 19TH AUGUST EVENING SHIFT

Let \(p\) and \(q\) be the roots of the equation \(x^2-2 x+A=0\) and let \(r\) and \(s\) be the roots of the equation \(x^2-18 x+B=0\). If \(p < q < r < s\) are in AP then the values of \(A\) and \(B\) are

A
\(-3,77\)
B
\(3,-77\)
C
\(3,77\)
D
\(-3,-77\)
Open complete paper
2
2021 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2021 19TH AUGUST EVENING SHIFT

If \(1+x^2=\sqrt{3} x\), then \(\sum_{n=1}^{24}\left(x^n-\frac{1}{x^n}\right)^2\) is equal to

A
48
B
\(-\)48
C
\(-\)24
D
24
Open complete paper
3
2021 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2021 19TH AUGUST MORNING SHIFT

Let \(f(x)=x^3+a x^2+b x+c\) be polynomial with integer coefficients. If the roots of \(f(x)\) are integer and are in Arithmetic Progression, then \(a\) cannot take the value

A
\(-642\)
B
1214
C
1323
D
1626
Open complete paper
4
2021 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2021 20TH AUGUST EVENING SHIFT

Using mathematical induction, the numbers \(a_n^{\prime}\) s are defined by \(a_0=1, a_{n+1}=3 n^2+n+a_n (n \geq 0)\), then \(a_n\) is equal to

A
\(n^3+n^2+1\)
B
\(n^3-n^2+1\)
C
\(n^3-n^2\)
D
\(n^3+n^2\)
Open complete paper
5
2022 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2022 5TH JULY MORNING SHIFT

Suppose that the three points \(A, B\) and \(C\) in the plane are such that their \(x\)-coordinates as well as \(y\)-coordinates are in GP with the same common ratio. Then, the points \(A, B\) and \(C\)

A
constitute a right angled triangle
B
form an isosceles triangle
C
lie on a straight line
D
form an equilateral triangle
Open complete paper
6
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 19TH MAY EVENING SHIFT
$$1-\frac{2}{3}+\frac{2 \cdot 4}{3 \cdot 6}-\frac{2 \cdot 4 \cdot 6}{3 \cdot 6 \cdot 9}+\ldots \infty=$$
A
$\frac{3}{5}$
B
$\left(\frac{2}{5}\right)^{\frac{2}{3}}$
C
$\frac{2}{5}$
D
$\left(\frac{3}{5}\right)^{\frac{2}{3}}$
Open complete paper
7
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 19TH MAY EVENING SHIFT
$$2 \cdot 5+5 \cdot 9+8 \cdot 13+11 \cdot 17+\ldots \text { to } 10 \text { terms }=$$
A
3355
B
4555
C
1375
D
1380
Open complete paper
8
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 19TH MAY EVENING SHIFT
If the roots of equation $x^3-13 x^2+K x-27=0$ are in geometric progression, then $K=$
A
-30
B
30
C
39
D
-39
Open complete paper
9
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 20TH MAY EVENING SHIFT
If the roots of the equation $x^3+a x^2+b x+c=0$ are in arithmetic progression. Then,
A
$a^3-3 a b+c=0$
B
$9 a b=2 a^3+27 c$
C
$a^2-2 b c+c=0$
D
$3 a b-3 c-a^3=0$
Open complete paper
10
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 20TH MAY EVENING SHIFT
If $2 \cdot 4^{2 n+1}+3^{3 n+1}$ is divisible by $k$ for all $n \in N$, then $k=$
A
209
B
11
C
8
D
3
Open complete paper
11
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 20TH MAY MORNING SHIFT
$ \frac{1}{3 \cdot 7}+\frac{1}{7 \cdot 11}+\frac{1}{11 \cdot 15}+\ldots$ to 50 terms $=$
A
$\frac{50}{203}$
B
$\frac{50}{609}$
C
$\frac{150}{203}$
D
$\frac{25}{609}$
Open complete paper
12
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 20TH MAY MORNING SHIFT
$$1+\frac{1}{3}+\frac{1 \cdot 3}{3 \cdot 6}+\frac{1 \cdot 3 \cdot 5}{3 \cdot 6 \cdot 9}+\ldots \text { to } \infty=$$
A
$\sqrt{5}$
B
$\sqrt{6}$
C
$\sqrt{15}$
D
$\sqrt{3}$
Open complete paper
13
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 21TH MAY EVENING SHIFT
In the expansion of $\frac{2 x+1}{(1+x)(1-2 x)}$ the sum of the coefficients of the first 5 odd powers of $x$ is
A
$\frac{5}{3}+\frac{8}{9}\left(4^5-1\right)$
B
$\frac{5}{3}+\frac{8}{3}\left(4^5-1\right)$
C
$-\frac{5}{3}+\frac{8}{9}\left(4^5-1\right)$
D
$\frac{5}{3}+\frac{8}{12}\left(4^5+1\right)$
Open complete paper
14
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 21TH MAY EVENING SHIFT
The condition that the roots of $x^3-b x^2+c x-d=0$ are in arithmetic progression is
A
$9 c b=2 b^3+27 d$
B
$9 c b=2 d^3+27 b$
C
$9 c b=2 d^3+27 b$
D
$9 c d=2 b^3+27 d$
Open complete paper
15
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 21TH MAY EVENING SHIFT
If $1 \cdot 3 \cdot 5+3 \cdot 5 \cdot 7+5 \cdot 7 \cdot 9+\ldots n$ terms $=n(n+1) f(n)-3 n$, then $f(l)=$
A
9
B
11
C
12
D
8
Open complete paper
16
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 21TH MAY MORNING SHIFT
$\frac{1}{1 \cdot 5}+\frac{1}{5 \cdot 9}+\frac{1}{9 \cdot 13}+\ldots$. upto $n$ terms $=$
A
$\frac{1}{4 n+1}$
B
$\frac{4}{4 n+1}$
C
$\frac{n}{4 n+1}$
D
$\frac{4 n+1}{5(4 n+1)}$
Open complete paper
17
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 21TH MAY MORNING SHIFT
If the roots of the equation $4 x^3-12 x^2+11 x+m=0$ are in arithmetic progression, then $m=$
A
-3
B
1
C
2
D
3
Open complete paper
18
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 22TH MAY MORNING SHIFT
If $\alpha, \beta$ are the roots of the equation $x^2-6 x-2=0$, $\alpha>\beta$ and $a_n=\alpha^n-\beta^n, n \geq 1$, then the value of $\frac{a_{10}-2 a_8}{2 a_9}$ is equal to
A
6
B
4
C
3
D
2
Open complete paper
19
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 22TH MAY MORNING SHIFT

$$2+3+5+6+8+9+\ldots .2 n \text { terms }=$$

A
$3 n^2+2 n$
B
$4 n^2+2 n$
C
$4 n^2$
D
$5 n^2+2 n$
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20
2024 · Mathematics · Algebra · Sequences And Series
AP EAPCET 2024 22TH MAY MORNING SHIFT
$|x|<1$, The coefficient of $x^2$ in the power series expansion of $\frac{x^4}{(x+1)(x-2)}$ is
A
3
B
0
C
-1
D
-3
Open complete paper

Showing 20 of 32 questions