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Recent questions tagged sequenceseries
0
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1
ISI2015DCG10
The $5000$th term of the sequence $1,2,2, 3,3,3,4,4,4,4, \cdots$ is $98$ $99$ $100$ $101$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
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(
17.5k
points)

26
views
isi2015dcg
numericalability
sequenceseries
+2
votes
1
answer
2
ISI2016DCG1
The sequence $\dfrac{1}{\log_{3} 2},\dfrac{1}{\log_{6} 2},\dfrac{1}{\log_{12} 2},\dfrac{1}{\log_{24} 2}\cdots$ is in Arithmetic progression (AP) Geometric progression (GP) Harmonic progression (HP) None of these
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

42
views
isi2016dcg
numericalability
logarithms
sequenceseries
+1
vote
1
answer
3
ISI2016DCG9
The $5000$th term of the sequence $1,2,2,3,3,3,4,4,4,4,\cdots$ is $98$ $99$ $100$ $101$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

33
views
isi2016dcg
numericalability
sequenceseries
0
votes
1
answer
4
ISI2018DCG3
If the coefficient of $p^{th}, (p+1)^{th}$ and $(p+2)^{th}$ terms in the expansion of $(1+x)^n$ are in Arithmetic Progression (A.P.), then which one of the following is true? $n^2+4(4p+1)+4p^22=0$ $n^2+4(4p+1)+4p^2+2=0$ $(n2p)^2=n+2$ $(n+2p)^2=n+2$
asked
Sep 18, 2019
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

44
views
isi2018dcg
numericalability
sequenceseries
arithmeticseries
0
votes
1
answer
5
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
+1
vote
1
answer
6
GATE2015 EC1: GA8
Fill in the missing value
asked
May 28, 2019
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
58.8k
points)

238
views
gate2015ec1
generalaptitude
numericalability
numericalanswers
sequenceseries
+2
votes
1
answer
7
GATE2010 MN: GA7
Given the sequence $A,B,B,C,C,C,D,D,D,D,\ldots$ etc$.,$ that is one $A,$ two $B’s,$ three $C’s,$ four $D’s,$ five $E’s$ and so on, the $240^{th}$ latter in the sequence will be $:$ $V$ $U$ $T$ $W$
asked
May 13, 2019
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
58.8k
points)

94
views
generalaptitude
logicalreasoning
gate2010mn
sequenceseries
0
votes
0
answers
8
ISI2018MMA23
For $n\geq 1$, let $a_n=\frac{1}{2^2} + \frac{2}{3^2}+ \dots +\frac{n}{(n+1)^2}$ and $b_n=c_0 + c_1r + c_2r^2 + \dots + c_nr^n$,where $\mid c_k \mid \leq M$ for all integer $k$ and $\mid r \mid <1$. Then both $\{a_n\}$ ... $\{a_n\}$ is not a Cauchy sequence,and $\{b_n\}$ is Cauchy sequence neither $\{a_n\}$ nor $\{b_n\}$ is a Cauchy sequence.
asked
May 11, 2019
in
Others
by
akash.dinkar12
Boss
(
42.4k
points)

20
views
isi2018mma
sequenceseries
nongate
+2
votes
1
answer
9
ISIMMA 2019 Sample Questions23
For $n \geq1$, Let $a_{n} = \frac{1}{2^{2}} + \frac{2}{3^{2}} +.....+ \frac{n}{(n+1)^{2}}$ and $b_{n} = c_{0} + c_{1}r + c_{2}r^{2}+.....+c_{n}r^{n},$ where$c_{k} \leq M$ for all integers $k$ ... not a Cauchy sequence (C) $\{a_n\}$ is not a Cauchy sequence but $\{b_n\}$ is a Cauchy sequence (D) neither $\{a_n\}$ nor $\{b_n\}$ is a Cauchy sequence.
asked
Mar 17, 2019
in
Calculus
by
ankitgupta.1729
Boss
(
17.1k
points)

140
views
sequenceseries
calculus
+1
vote
1
answer
10
ISI MMA2015
Let, $a_{n} \;=\; \left ( 1\frac{1}{\sqrt{2}} \right ) ... \left ( 1 \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
asked
Feb 21, 2019
in
Calculus
by
ankitgupta.1729
Boss
(
17.1k
points)

164
views
engineeringmathematics
calculus
userisi2015
usermod
sequenceseries
limits
+1
vote
2
answers
11
GATE2019 EE: GA3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

139
views
gate2019ee
generalaptitude
numericalability
sequenceseries
0
votes
2
answers
12
GATE2019 ME2: GA3
If IMHO=JNIP; IDK=JEL; and SO=TP, then IDC=______ JDE JED JDC JCD
asked
Feb 9, 2019
in
Numerical Ability
by
Arjun
Veteran
(
431k
points)

93
views
gate2019me2
generalaptitude
numericalability
sequenceseries
easy
+2
votes
1
answer
13
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
0
votes
1
answer
14
if H. M and G. M of two numbers are 147 and 21 respectively then find their arithmetic mean
asked
Oct 5, 2018
in
Numerical Ability
by
Palak jadav
(
5
points)

44
views
numerical
series
and
sequenceseries
0
votes
1
answer
15
ISI2016MMA1
Suppose $a, b, c >0$ are in geometric progression and $a^p = b^q =c^r \neq 1$. Which one of the following is always true? $p, q, r$ are in geometric progression $p, q, r$ are in arithmetic progression $p, q, r$ are in harmonic progression $p=q=r$
asked
Sep 13, 2018
in
Numerical Ability
by
jothee
Veteran
(
105k
points)

42
views
isi2016mma
sequenceseries
geometricseries
0
votes
0
answers
16
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)

15
views
isi2016mmamma
sequenceseries
convergencedivergence
summation
nongate
0
votes
0
answers
17
Find sequence's sum?
What is sum of the following series 1+ √2+ √3 +√4.....+√n ? Asymptotic answer will be okay too.
asked
Sep 8, 2018
in
Calculus
by
bts1jimin
(
205
points)

36
views
seriesevaluvation
sequenceseries
0
votes
0
answers
18
What is sum of the sequence?
What is sum of the series 1+ √2+ √3 +√4.....+√n ? Assymptotic answer will be okay too.
asked
Sep 8, 2018
in
Calculus
by
bts1jimin
(
205
points)

35
views
seriesevaluvation
sequenceseries
0
votes
0
answers
19
ISI 2018 MMA 1
The number of common terms in the two sequence (3,7,11,...,407} and {2,9,16,...,70} is A)13 B)14 C)15 D)16
asked
May 14, 2018
in
Combinatory
by
Tesla!
Boss
(
18.4k
points)

192
views
userisi2018
usermod
sequenceseries
+2
votes
1
answer
20
PGEE 18
If 10 and 25 are smallest numbers with multilpicative persistence of 1 and 2. What is the smallest number with multiplicative persistence of 4? 1. 77 2. Some No.'s > 77 4. None
asked
Apr 24, 2018
in
Numerical Ability
by
Skan
(
273
points)

184
views
iiithpgee
sequenceseries
+7
votes
10
answers
21
GATE2018GA5
$\text{ What is the missing number in the following sequence?}$ $2,\,12,\,60,\,240,\,720,\,1440,\,\underline{\;\;\;\;\;\;\;\;},0$ $2880$ $1440$ $720$ $0$
asked
Feb 14, 2018
in
Numerical Ability
by
gatecse
Boss
(
17.5k
points)

2.1k
views
gate2018
numericalability
sequenceseries
easy
+2
votes
1
answer
22
Sequence
Conjecture a simple formula for an if the first few terms are 1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
asked
Feb 13, 2018
in
Set Theory & Algebra
by
Mk Utkarsh
Boss
(
36.5k
points)

117
views
sequenceseries
+1
vote
1
answer
23
Maths Sum_of_AP/GP Sum_of_AP*GP
How to solve such ques? Answer is in asymptotic notation : S1 = theta (n), S2= theta (n log n)
asked
Dec 24, 2017
in
Algorithms
by
stanchion
Junior
(
555
points)

107
views
sequenceseries
permutationandcombination
asymptoticnotations
+1
vote
1
answer
24
sequence and series
asked
Nov 6, 2017
in
Numerical Ability
by
Parshu gate
Active
(
3.1k
points)

443
views
sequenceseries
+2
votes
3
answers
25
GATE2016 ME2: GA8
Find the missing sequence in the letter series. $B, FH, LNP$, _______. $SUWY$ $TUVW$ $TVXZ$ $TWXZ$
asked
Jan 20, 2017
in
Numerical Ability
by
makhdoom ghaya
Boss
(
30.7k
points)

522
views
gate2016me2
sequenceseries
numericalability
+1
vote
5
answers
26
Find the missing number. Need answer with explanation
15, 22, 36, 64, ?, 232
asked
Oct 20, 2016
in
Numerical Ability
by
jothee
Veteran
(
105k
points)

928
views
sequenceseries
+2
votes
3
answers
27
Find the missing number. Need answer with explanation
19, 23, 14, 30, 5, ?
asked
Oct 20, 2016
in
Numerical Ability
by
jothee
Veteran
(
105k
points)

599
views
sequenceseries
+1
vote
1
answer
28
Find the missing number. Need answer with explanation
16, 7, 5, 6, 16, ?
asked
Oct 20, 2016
in
Numerical Ability
by
jothee
Veteran
(
105k
points)

596
views
sequenceseries
0
votes
2
answers
29
Find the missing number. Need answer with explanation
4, 10, 27, 112, 555, ?
asked
Oct 20, 2016
in
Numerical Ability
by
jothee
Veteran
(
105k
points)

795
views
sequenceseries
0
votes
1
answer
30
Find the missing number. Need answer with explanation
12, 19, 35, 59, 90, ?
asked
Oct 20, 2016
in
Numerical Ability
by
jothee
Veteran
(
105k
points)

1k
views
sequenceseries
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