Recent questions tagged sequence-series

0 votes

1 answer

1

ISI2015-DCG-10
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) | 26 views

+2 votes

1 answer

2

ISI2016-DCG-1
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

+1 vote

1 answer

3

ISI2016-DCG-9
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

0 votes

1 answer

4

ISI2018-DCG-3
If the co-efficient 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? $n^2+4(4p+1)+4p^2-2=0$ $n^2+4(4p+1)+4p^2+2=0$ $(n-2p)^2=n+2$ $(n+2p)^2=n+2$

asked Sep 18, 2019 in Numerical Ability by gatecse Boss (17.5k points) | 44 views

0 votes

1 answer

5

ISI2018-DCG-27
$\sum_{n=1}^{\infty}\frac{1}{n(n+1)}$ is $2$ $1$ $\infty$ not a convergent series

asked Sep 18, 2019 in Numerical Ability by gatecse Boss (17.5k points) | 15 views

+1 vote

1 answer

6

GATE2015 EC-1: GA-8
Fill in the missing value

asked May 28, 2019 in Numerical Ability by Lakshman Patel RJIT Veteran (58.8k points) | 238 views

+2 votes

1 answer

7

GATE2010 MN: GA-7
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

0 votes

0 answers

8

ISI2018-MMA-23
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

+2 votes

1 answer

9

ISI-MMA 2019 Sample Questions-23
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

+1 vote

1 answer

10

ISI MMA-2015
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

+1 vote

2 answers

11

GATE2019 EE: GA-3
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

0 votes

2 answers

12

GATE2019 ME-2: GA-3
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

+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

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

0 votes

1 answer

15

ISI2016-MMA-1
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

0 votes

0 answers

16

ISI2016-MMA-22
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

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

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

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

+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

+7 votes

10 answers

21

GATE2018-GA-5
$\text{ What is the missing number in the following sequence?}$ $2,\,12,\,60,\,240,\,720,\,1440,\,\underline{\;\;\;\;\;\;\;\;},0$ $2880$ $1440$ $720$ $0$

asked Feb 14, 2018 in Numerical Ability by gatecse Boss (17.5k points) | 2.1k views

+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

+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

+1 vote

1 answer

24

sequence and series

asked Nov 6, 2017 in Numerical Ability by Parshu gate Active (3.1k points) | 443 views

+2 votes

3 answers

25

GATE2016 ME-2: GA-8
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

+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

+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

+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

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

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

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