Sequences and Series PYQs - Last 5 Years
TS EAMCET / Mathematics / Algebra / 17 recent questions
MathematicsAlgebra2021-2025
Practice 17 TS EAMCET Mathematics questions from Sequences 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
2022-2025
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2021-2025
17
Last 10 Years
2016-2025
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17 in last 5 years17 in last 10 years
Last 5 Years Sequences and Series Questions
Showing 17 of 17 filtered questions.
1Sequences And Series
$K=\left|\begin{array}{cc}3 & 4 \\ 5 & 4\end{array}\right|+\left|\begin{array}{cc}1 & -1 \\ 5 & 4\end{array}\right|+\left|\begin{array}{cc}\frac{1}{3} & \frac{1}{4} \\ 5 & 4\end{array}\right|+\left|\begin{array}{cc}\frac{1}{9} & -\frac{1}{1...
MCQ+1 / -02025
2Sequences And Series
$t_1, t_2, t_3, \ldots, t_n$ are positive integers, $S_n=t_1+t_2+t_3+\ldots+t_n$, $S_1=1^2, S_2=3^2, S_3=6^2, S_4=10^2, S_5=15^2$ and similarly other terms are there. Following this pattern, if $S_{10}=k^2$ then $k=$
MCQ+1 / -02025
3Sequences And Series
If $\frac{1}{2 \cdot 7}+\frac{1}{7 \cdot 12}+\frac{1}{12 \cdot 17}+\frac{1}{17 \cdot 22}+\ldots$ to 10 terms $=k$, then $k=$
MCQ+1 / -02025
4Sequences And Series
The value of the greatest integer $k$ satisfying the inequation $2^{n+4}+12 \geq k(n+4)$ for all $n \in N$ is
MCQ+1 / -02025
5Sequences And Series
$1+(1+3)+(1+3+5)+(1+3+5+7)+\ldots$ to 10 terms $=$
MCQ+1 / -02025
6Sequences And Series
The value of the greatest positive integer $k$, such that $49^k+1$ is a factor of $48\left(49^{125}+49^{124}+\ldots+49^2+49+1\right)$ is
MCQ+1 / -02025
7Sequences And Series
When $|x|<2$, then coefficient of $x^2$ in the power series expansion of $\frac{x}{(x-2)(x-3)}$, is
MCQ+1 / -02024
8Sequences And Series
$\frac{1}{3 \cdot 6}+\frac{1}{6 \cdot 9}+\frac{1}{9 \cdot 12}+\ldots \ldots .$. to 9 terms $=$
MCQ+1 / -02024
9Sequences And Series
If $1 \cdot 3 \cdot 5+3 \cdot 5 \cdot 7+5 \cdot 7 \cdot 9 \ldots$ to $n$ terms $=n(n+1) f(n)$, then $f(2)=$
MCQ+1 / -02024
10Sequences And Series
Among the following four statements, the statement which is not true, for all $n \in N$ is
MCQ+1 / -02024
11Sequences And Series
Assertion (A) : $1+\frac{2 \cdot 1}{3 \cdot 2}+\frac{2 \cdot 5}{3 \cdot 6} \frac{1}{4}+\frac{2 \cdot 5 \cdot 8}{3 \cdot 6 \cdot 9} \frac{1}{8}+\ldots \infty=\sqrt[3]{4}$
Reason (R) : |x| < 1,(1-x) $=1+n x+\frac{n(n+1)}{1 \cdot 2} x^2$$+\fra...
Reason (R) : |x| < 1,(1-x) $=1+n x+\frac{n(n+1)}{1 \cdot 2} x^2$$+\fra...
MCQ+1 / -02024
12Sequences And Series
If $i=\sqrt{-1}$, then $\sum_{n=0}^{\infty}\left(\frac{i}{3}\right)^n=$
MCQ+1 / -02023
13Sequences And Series
If $f(x)$ is a function such that $f(x+y)=f(x)+f(y)$ and $f(1)=7$, then $\sum_{r=1}^n f(r)=$
MCQ+1 / -02023
14Sequences And Series
If the roots of the equation $k x^3-18 x^2-36 x+8=0$ are in harmonic progression, then $k=$
MCQ+1 / -02023
15Sequences And Series
If $3 x=1+\frac{5}{8}+\frac{5}{8} \cdot \frac{9}{13}+\frac{5}{16}+\ldots$, then $x^4+4 x^3+6 x^2+4 x=$
MCQ+1 / -02023
16Sequences And Series
The roots of the equation $x^3-14 x^2+56 x-64=0$ are in
MCQ+1 / -02023
17Sequences And Series
If $\alpha, \beta, \gamma$ are the roots of the equation $3 x^3-26 x^2+52 x-24=0$ such that $\alpha, \beta, \gamma$ are in geometric progression and $\alpha<\beta<\gamma$, then $3 \alpha+2 \beta+\gamma=$
MCQ+1 / -02022