Sequences and Series · Mathematics · AP EAPCET

Start Practice

MCQ (Single Correct Answer)

1
If $2 \cdot 4^{2 n+1}+3^{3 n+1}$ is divisible by $k$ for all $n \in N$, then $k=$
AP EAPCET 2024 - 20th May Evening Shift
2
If the roots of the equation $x^3+a x^2+b x+c=0$ are in arithmetic progression. Then,
AP EAPCET 2024 - 20th May Evening Shift
3
$ \frac{1}{3 \cdot 7}+\frac{1}{7 \cdot 11}+\frac{1}{11 \cdot 15}+\ldots$ to 50 terms $=$
AP EAPCET 2024 - 20th May Morning Shift
4
$$1+\frac{1}{3}+\frac{1 \cdot 3}{3 \cdot 6}+\frac{1 \cdot 3 \cdot 5}{3 \cdot 6 \cdot 9}+\ldots \text { to } \infty= $$
AP EAPCET 2024 - 20th May Morning Shift
5
$$ 2 \cdot 5+5 \cdot 9+8 \cdot 13+11 \cdot 17+\ldots \text { to } 10 \text { terms }= $$
AP EAPCET 2024 - 19th May Evening Shift
6
If the roots of equation $x^3-13 x^2+K x-27=0$ are in geometric progression, then $K=$
AP EAPCET 2024 - 19th May Evening Shift
7
$$ 1-\frac{2}{3}+\frac{2 \cdot 4}{3 \cdot 6}-\frac{2 \cdot 4 \cdot 6}{3 \cdot 6 \cdot 9}+\ldots \infty= $$
AP EAPCET 2024 - 19th May Evening Shift
8

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 $$C$$

AP EAPCET 2022 - 5th July Morning Shift
9

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

AP EAPCET 2021 - 19th August Evening Shift
10

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

AP EAPCET 2021 - 19th August Evening Shift
11

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

AP EAPCET 2021 - 19th August Morning Shift
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12