The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Recent questions tagged summation
+1
vote
2
answers
1
ISI2014DCG16
The sum of the series $\dfrac{1}{1.2} + \dfrac{1}{2.3}+ \cdots + \dfrac{1}{n(n+1)} + \cdots $ is $1$ $1/2$ $0$ nonexistent
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
430k
points)

83
views
isi2014dcg
numericalability
summation
+1
vote
1
answer
2
ISI2014DCG34
The following sum of $n+1$ terms $2 + 3 \times \begin{pmatrix} n \\ 1 \end{pmatrix} + 5 \times \begin{pmatrix} n \\ 2 \end{pmatrix} + 9 \times \begin{pmatrix} n \\ 3 \end{pmatrix} + 17 \times \begin{pmatrix} n \\ 4 \end{pmatrix} + \cdots$ up to $n+1$ terms is equal to $3^{n+1}+2^{n+1}$ $3^n \times 2^n$ $3^n + 2^n$ $2 \times 3^n$
asked
Sep 23, 2019
in
Combinatory
by
Arjun
Veteran
(
430k
points)

48
views
isi2014dcg
permutationandcombination
binomialtheorem
summation
+1
vote
0
answers
3
ISI2014DCG65
The sum $\dfrac{n}{n^2}+\dfrac{n}{n^2+1^2}+\dfrac{n}{n^2+2^2}+ \cdots + \dfrac{n}{n^2+(n1)^2} + \cdots \cdots$ is $\frac{\pi}{4}$ $\frac{\pi}{8}$ $\frac{\pi}{6}$ $2 \pi$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
430k
points)

51
views
isi2014dcg
numericalability
summation
nongate
+1
vote
1
answer
4
ISI2014DCG72
The sum $\sum_{k=1}^n (1)^k \:\: {}^nC_k \sum_{j=0}^k (1)^j \: \: {}^kC_j$ is equal to $1$ $0$ $1$ $2^n$
asked
Sep 23, 2019
in
Combinatory
by
Arjun
Veteran
(
430k
points)

37
views
isi2014dcg
permutationandcombination
summation
+1
vote
1
answer
5
ISI2015MMA17
Let $X=\frac{1}{1001} + \frac{1}{1002} + \frac{1}{1003} + \cdots + \frac{1}{3001}$. Then, $X \lt1$ $X\gt3/2$ $1\lt X\lt 3/2$ none of the above holds
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
430k
points)

24
views
isi2015mma
numericalability
summation
0
votes
1
answer
6
ISI2015MMA24
The series $\sum_{k=2}^{\infty} \frac{1}{k(k1)}$ converges to $1$ $1$ $0$ does not converge
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
430k
points)

19
views
isi2015mma
numbersystem
convergencedivergence
summation
nongate
+1
vote
1
answer
7
ISI2015MMA54
If $0 <x<1$, then the sum of the infinite series $\frac{1}{2}x^2+\frac{2}{3}x^3+\frac{3}{4}x^4+ \cdots$ is $\log \frac{1+x}{1x}$ $\frac{x}{1x} + \log(1+x)$ $\frac{1}{1x} + \log(1x)$ $\frac{x}{1x} + \log(1x)$
asked
Sep 23, 2019
in
Others
by
Arjun
Veteran
(
430k
points)

20
views
isi2015mma
summation
nongate
0
votes
0
answers
8
ISI2015MMA80
Let $0 < \alpha < \beta < 1$. Then $ \Sigma_{k=1}^{\infty} \int_{1/(k+\beta)}^{1/(k+\alpha)} \frac{1}{1+x} dx$ is equal to $\log_e \frac{\beta}{\alpha}$ $\log_e \frac{1+ \beta}{1 + \alpha}$ $\log_e \frac{1+\alpha }{1+ \beta}$ $\infty$
asked
Sep 23, 2019
in
Calculus
by
Arjun
Veteran
(
430k
points)

20
views
isi2015mma
calculus
definiteintegrals
summation
nongate
+1
vote
0
answers
9
ISI2015MMA84
For positive real numbers $a_1, a_2, \cdots, a_{100}$, let $p=\sum_{i=1}^{100} a_i \text{ and } q=\sum_{1 \leq i < j \leq 100} a_ia_j.$ Then $q=\frac{p^2}{2}$ $q^2 \geq \frac{p^2}{2}$ $q< \frac{p^2}{2}$ none of the above
asked
Sep 23, 2019
in
Others
by
Arjun
Veteran
(
430k
points)

16
views
isi2015mma
summation
nongate
0
votes
2
answers
10
ISI2015DCG2
Let $S=\{6, 10, 7, 13, 5, 12, 8, 11, 9\}$ and $a=\underset{x \in S}{\Sigma} (x9)^2$ & $b = \underset{x \in S}{\Sigma} (x10)^2$. Then $a <b$ $a>b$ $a=b$ None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

74
views
isi2015dcg
numericalability
summation
0
votes
1
answer
11
ISI2015DCG15
The smallest integer $n$ for which $1+2+2^2+2^3+2^4+ \cdots +2^n$ exceeds $9999$, given that $\log_{10} 2=0.30103$, is $12$ $13$ $14$ None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

27
views
isi2015dcg
numericalability
summation
+1
vote
2
answers
12
ISI2016DCG2
Let $S=\{6,10,7,13,5,12,8,11,9\},$ and $a=\sum_{x\in S}(x9)^{2}\:\&\: b=\sum_{x\in S}(x10)^{2}.$ Then $a<b$ $a>b$ $a=b$ None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

52
views
isi2016dcg
numericalability
summation
inequality
0
votes
1
answer
13
ISI2016DCG17
The smallest integer $n$ for which $1+2+2^{2}+2^{3}+2^{4}+\cdots+2^{n}$ exceeds $9999$, given that $\log_{10}2=0.30103$, is $12$ $13$ $14$ None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

20
views
isi2016dcg
numericalability
summation
0
votes
1
answer
14
ISI2016DCG23
The value of $\log_{2}e\log_{4}e+\log_{8}e\log_{16}e+\log_{32}e\cdots\:\:$ is $1$ $0$ $1$ None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

18
views
isi2016dcg
numericalability
logarithms
summation
0
votes
1
answer
15
ISI2017DCG1
The value of $\dfrac{1}{\log_2 n}+ \dfrac{1}{\log_3 n}+\dfrac{1}{\log_4 n}+ \dots + \dfrac{1}{\log_{2017} n}\:\:($ where $n=2017!)$ is $1$ $2$ $2017$ none of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

33
views
isi2017dcg
numericalability
logarithms
summation
0
votes
0
answers
16
ISI2017DCG13
The value of $\dfrac{x}{1x^2} + \dfrac{x^2}{1x^4} + \dfrac{x^4}{1x^8} + \dfrac{x^8}{1x^{16}}$ is $\frac{1}{1x^{16}}$ $\frac{1}{1x^{12}}$ $\frac{1}{1x} – \frac{1}{1x^{16}}$ $\frac{1}{1x} – \frac{1}{1x^{12}}$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

18
views
isi2017dcg
numericalability
summation
0
votes
1
answer
17
ISI2018DCG27
$\sum_{n=1}^{\infty}\frac{1}{n(n+1)}$ is $2$ $1$ $\infty$ not a convergent series
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

15
views
isi2018dcg
numericalability
sequenceseries
summation
+2
votes
1
answer
18
Kenneth Rosen Edition 6th Exercise 2.4 Question 15c (Page No. 161)
$\sum_{j=2}^{8}(3)^j$
asked
Dec 5, 2018
in
Set Theory & Algebra
by
aditi19
Active
(
5.2k
points)

74
views
kennethrosen
discretemathematics
settheory&algebra
sequenceseries
summation
+2
votes
1
answer
19
ISI2016MMA18
Let $A=\begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}$, and $B=A+A^2+A^3+ \dots +A^{50}$. Then $B^2 =1$ $B^2 =0$ $B^2 =A$ $B^2 =B$
asked
Sep 13, 2018
in
Linear Algebra
by
jothee
Veteran
(
105k
points)

28
views
isi2016mmamma
linearalgebra
matrices
summation
0
votes
0
answers
20
ISI2016MMA22
The infinite series $\Sigma_{n=1}^{\infty} \frac{a^n \log n}{n^2}$ converges if and only if $a \in [1, 1)$ $a \in (1, 1]$ $a \in [1, 1]$ $a \in (\infty, \infty)$
asked
Sep 13, 2018
in
Others
by
jothee
Veteran
(
105k
points)

14
views
isi2016mmamma
sequenceseries
convergencedivergence
summation
nongate
+1
vote
1
answer
21
Infinite series
Find the infinite sum of the series $1 + \frac{4}{7} + \frac{9}{7^2} + \frac{16}{7^3} + \frac{25}{7^4} + .............\Join$
asked
Aug 8, 2018
in
Numerical Ability
by
pankaj_vir
Boss
(
10.7k
points)

166
views
numericalability
summation
0
votes
0
answers
22
Bounding Summation
How does the below bounds to logn? Please explain the steps 1 and 2. I came to know that they are using the idea of splitting the summations and bounding them. How the first and second step came?
asked
May 11, 2018
in
Algorithms
by
Ayush Upadhyaya
Boss
(
29k
points)

145
views
summation
+1
vote
1
answer
23
addition
value of 1/3 + 1/15 + 1/35 +............................+1/9999 a)100/101 b)50/101 c)100/51 d)50/51
asked
Sep 12, 2017
in
Numerical Ability
by
A_i_$_h
Boss
(
10.2k
points)

445
views
numericalability
summation
numberseries
+5
votes
1
answer
24
Series Summation
Series summation of $S_n$ in closed form? $\begin{align*} &S_n = \frac{1}{1.2.3.4} + \frac{1}{2.3.4.5} + \frac{1}{3.4.5.6} + \dots + \frac{1}{n.(n+1).(n+2).(n+3)} \end{align*}$
asked
Jun 11, 2017
in
Set Theory & Algebra
by
dd
Veteran
(
57.2k
points)

226
views
numbertheory
summation
discretemathematics
+3
votes
2
answers
25
Manipulation of sum
Prove the identity: $\begin{align*} &\sum_{i=0}^{n}\sum_{j=0}^{i} a_ia_j = \frac{1}{2}\left ( \left ( \sum_{i=0}^{n}a_i \right )^2 + \left ( \sum_{i=0}^{n}a_i^2 \right )\right ) \end{align*}$
asked
Feb 25, 2017
in
Combinatory
by
dd
Veteran
(
57.2k
points)

172
views
discretemathematics
summation
+2
votes
0
answers
26
summation series
what is the summation of this series? S=nC0*20+nC1*21+nC2*22+..............nCn*2n
asked
Jan 17, 2017
in
Combinatory
by
firki lama
Junior
(
681
points)

108
views
summation
+4
votes
1
answer
27
ME algo doubt
asked
Jan 8, 2017
in
Algorithms
by
Arnabi
Loyal
(
8k
points)

141
views
summation
algorithms
timecomplexity
+5
votes
4
answers
28
Time complexity and output
#include <stdio.h> #define N 3 int main() { int array[N] = {1,2,3}; int i,j; for ( i=1; i<(1<<N); i++) { for( j=0; j<N; j++) { if((1<<j)&i) { printf("%d", array[j]); } } printf("\n"); } return 0 ... $N = n \;\; , n \; \text{ is a positive integer }$ ? B. What is the output? C. What will be the complexity when $N$ is large.
asked
Dec 17, 2016
in
Programming
by
dd
Veteran
(
57.2k
points)

633
views
timecomplexity
bitwise
programminginc
permutationandcombination
summation
subset
binomialtheorem
0
votes
1
answer
29
summation
5 digit numbers are possible from digits 1, 2, 3, 4, 5, 6, 7 When each digit is distinct is 7P5 . what is sum of all such numbers?
asked
Dec 11, 2016
in
Combinatory
by
Neal Caffery
Junior
(
959
points)

106
views
summation
+15
votes
2
answers
30
ISRO20162
What is the sum to infinity of the series, $3+6x^{2}+9x^{4}+12x^{6}+ \dots$ given $\left  x \right <1$ $\frac{3}{(1+x^{2})}$ $\frac{3}{(1+x^{2})^{2}}$ $\frac{3}{(1x^{2})^{2}}$ $\frac{3}{(1x^{2})}$
asked
Jul 4, 2016
in
Numerical Ability
by
ManojK
Boss
(
38.6k
points)

5k
views
numericalability
summation
isro2016
Page:
1
2
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
ISRO CSE 2020 PAPER ANALYSE
BARC OCES/DGFS 2020
ISI CMI PDF by GATE Overflow
Management Trainee Recruitment COAL INDIA 2020
ECIL Interview Experience
Follow @csegate
Recent questions tagged summation
Recent Blog Comments
they were in hurry while setting the papers they...
@Swaraj Right.. In Little Endian  Big endian...
Q42 C option is correct for C set as it is an...
@ smsubham The SQL query question No...
Are SQL query and that case 1, case 2 answer in...
50,737
questions
57,271
answers
198,140
comments
104,781
users