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Recent questions tagged number-series

2 votes
3 answers
1
Consider the series $\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{8}+\frac{1}{9}-\frac{1}{16}+\frac{1}{32}+\frac{1}{27}-\frac{1}{64}+\ldots.$ The sum of the infinite series above is$:$ $\infty$ $\frac{5}{6}$ $\frac{1}{2}$ $0$
asked May 14, 2019 in Numerical Ability Lakshman Patel RJIT 258 views
1 vote
1 answer
2
Look at this series: $25, 25, 37, 37, \dots , 51, ….$. What number should fill the blank? $51$ $39$ $23$ $25$
asked Dec 7, 2018 in Numerical Ability Arjun 419 views
1 vote
1 answer
3
Look at this series: $5000, 1001, 201, 41, \dots$ What number should come next? $9$ $10$ $11$ $42$
asked Dec 7, 2018 in Numerical Ability Arjun 901 views
0 votes
1 answer
4
Let $T$ be the set of integers $\{3,11,19,27, ..... , 451, 459, 467\}$ and $S$ be a subset of $T$ such that the sum of no two elements of $S$ is $470$. The maximum possible number of elements in $S$ is ? $31$ $28$ $29$ $30$ Answer is given as c. 29. But as per my calculations the answer has to be d.30. Let me know if my answer is correct.
asked Apr 29, 2018 in Numerical Ability NithinBiliya 247 views
0 votes
2 answers
5
The sum of an infinite geometric series of real numbers is $14$, and the sum of the cubes of the terms of this series is $392$. Then the first term of the series is $-14$ $10$ $7$ $-5$
asked Mar 17, 2018 in Mathematical Logic jjayantamahata 183 views
3 votes
1 answer
6
What is the value of $1 + \dfrac{1}{4} + \dfrac{1}{16} + \dfrac{1}{64} + \dfrac{1}{256} + .............?$ $2$ $\dfrac{7}{4}$ $\dfrac{3}{2}$ $\dfrac{4}{3}$
asked Feb 21, 2018 in Numerical Ability Lakshman Patel RJIT 394 views
1 vote
1 answer
7
Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \frac{1}{n}-\frac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first 50 terms? $\left( 1+ \frac{1}{2} \right) - \frac{1}{50}$ $\left( 1+ \frac{1}{2} \right) + \frac{1}{50}$ $\left( 1+ \frac{1}{2} \right) - \left( \frac{1}{51} + \frac{1}{52} \right)$ $1 - \left( \frac{1}{51} + \frac{1}{52} \right)$
asked Feb 17, 2018 in Numerical Ability gatecse 186 views
1 vote
1 answer
8
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 A_i_$_h 611 views
1 vote
2 answers
9
196 : 169 : 81 : ? (a) 64 (b) 72 (c) 100 (d) None Is a option correct here or do we need to look at the the square root of them for some other relation 14,13,9 .If none was not there i would have selected a only.
asked Jul 20, 2017 in Numerical Ability rahul sharma 5 506 views
1 vote
3 answers
10
Find next number in series? 15,10,5,150,16,12,4,192,20,15,5,....?
asked Jul 20, 2017 in Numerical Ability rahul sharma 5 588 views
1 vote
0 answers
12
If m and n are whole numbers and $m^{n} = 125$ then the value of $(m-5)^{n+1}=?$
asked Nov 11, 2016 in Linear Algebra Rakesh K 142 views
3 votes
2 answers
13
0, 11, 36, 81, ____?
asked Apr 19, 2016 in Verbal Ability shivani2010 257 views
6 votes
1 answer
14
8 votes
3 answers
15
5 votes
3 answers
16
10 votes
3 answers
17
5 votes
5 answers
18
Find the sum to $'n'$ terms of the series $10+84+734+\dots$ $\frac{9(9^n+1)}{10} +1$ $\frac{9(9^n-1)}{8} +1$ $\frac{9(9^n-1)}{8} +n$ $\frac{9(9^n-1)}{8} +n^2$
asked Feb 16, 2016 in Numerical Ability Akash Kanase 1.6k views
5 votes
2 answers
19
Let $|z| < 1$. Define $M_{n}(z)= \sum_{i=1}^{10} z^{10^{n}(i - 1)}?$ what is $\prod_{i=0}^{\infty} M_{i}(z)= M_{0}(z)\times M_{1}(z) \times M_{2}(z) \times ...?$ Can't be determined. $1/ (1 - z)$ $1/ (1 + z)$ $1 - z^{9}$ None of the above.
asked Dec 2, 2015 in Numerical Ability makhdoom ghaya 341 views
4 votes
1 answer
20
Consider a sequence of non-negative numbers ${x_{n} : n = 1, 2, . . .}$. Which of the following statements cannot be true? $\sum ^{\infty }_{n=1} x_{n}= \infty $ and $\sum ^{\infty }_{n=1} x_{n}^{2}= \infty$. $\sum ^{\infty }_{n=1} x_{n}= \infty $ ... $\sum ^{\infty }_{n=1} x_{n} < \infty $ and $\sum ^{\infty }_{n=1} x_{n}^{2}= \infty$.
asked Nov 9, 2015 in Numerical Ability makhdoom ghaya 269 views
3 votes
2 answers
21
Let $\DeclareMathOperator{S}{sgn} \S (x)= \begin{cases} +1 & \text{if } x \geq 0 \\ -1 & \text{if } x < 0 \end{cases}$ What is the value of the following summation? $\sum_{i=0}^{50} \S \left ( (2i - 1) (2i - 3) \dots (2i - 99) \right)$ $0$ $-1$ $+1$ $25$ $50$
asked Nov 4, 2015 in Numerical Ability makhdoom ghaya 247 views
9 votes
1 answer
22
Find the sum of the infinite series $\dfrac{1}{1\times 3 \times 5} + \dfrac{1}{3\times 5\times 7} + \dfrac{1}{5\times 7 \times 9} + \dfrac{1}{7\times 9 \times 11} + ......$ $\;\;\infty $ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{12}\right)$ $\left(\dfrac{1}{14}\right)$
asked Nov 4, 2015 in Numerical Ability makhdoom ghaya 426 views
6 votes
1 answer
23
The sum of the first $n$ terms of the series $1, 11, 111, 1111,\dots,$ is. $\frac{1}{81}\left ( 10^{n+1}-9n-10 \right )$ $\frac{1}{81}\left ( 10^{n}-9n \right )$ $\frac{1}{9}\left ( 10^{n+1}-1\right )$ $\frac{1}{9}\left ( 10^{n+1}-n10^{n}\right )$ None of the above.
asked Oct 17, 2015 in Numerical Ability makhdoom ghaya 351 views
2 votes
2 answers
24
The series $\sum ^{\infty }_{n=1}\frac{(-1)^{n+1}}{\sqrt{n}}$ Converges but not absolutely. Converges absolutely. Diverges. None of the above.
asked Oct 11, 2015 in Numerical Ability Arjun 183 views
2 votes
2 answers
25
The sum of the series $\frac{1}{1 \cdot 2}+ \frac{1}{2 \cdot 3}+ \frac{1}{3 \cdot 4} + \dots +\frac{1}{100 \cdot 101}$ $\frac{99}{101}$ $\frac{98}{101}$ $\frac{99}{100}$ None of the above
asked Oct 11, 2015 in Set Theory & Algebra makhdoom ghaya 323 views
1 vote
1 answer
26
I'm having hard time understanding how following series converges ; 1 + 2/5 + 3/5^2 + 4/5^3 + 5/5^4 + ............ infinity
asked Aug 22, 2015 in Linear Algebra vishal8492 191 views
9 votes
2 answers
27
Which number does not belong in the series below? $\qquad2, 5, 10, 17, 26, 37, 50, 64$ $17$ $37$ $64$ $26$
asked Sep 28, 2014 in Numerical Ability jothee 1.1k views
15 votes
3 answers
28
The value of $\sqrt{12+\sqrt{12+\sqrt{12+\dots}}} $is $3.464$ $3.932$ $4.000$ $4.444$
asked Sep 28, 2014 in Numerical Ability jothee 1.1k views
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