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Recent questions tagged sequences&series

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series
40, 54, 82, ?, 180 ,250(1) 142(2) 124(3) 136(4) 163(5) None of these
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number series
30, 34, 43, 59, 84, 120,?(1) 169(2) 148(3) 153(4) 176(5) None of these
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arun sharma pdf
What is the value of $\frac{77!*(77!-2*54!)^{3}}{(77!+54!)^{3}}+\frac{54!*(2*77!-54!)^{3}}{(77!+54!)^3}$a. 77! - 54!b. 77! + 54!c. 77!2 - 54!2d. 77!
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series
$90, 180, 12, 50, 100, 200,$______ $, 3, 50, 4, 25, 2, 6, 30, 3$
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series
$563 \; 647 \; 479 \; 815$_______ what is the next number in series
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series
$3 \; 8 \; 13 \; 24 \; 41$ ____next number in series is ?
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GATE 2014-EC 6
Find the next term in the sequence: 13M , 17Q, 19S,________(A)21W (B)21V (C)23W (D)23V
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Geometric progression
The series S is in G.P with common ratio r. A new series is formed whose nth term is sum of (n+1)th term and nth term of series S . what is common ratio of the new series...
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CAT 2003 | Question: 2-70
Consider the sets $T_n = \{n, n + 1, n + 2, n + 3, n + 4\}$, where $n = 1, 2, 3,\dots, 96.$ How many of these sets contain $6$ or any integral multiple thereof (i.e., any...
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CAT 2007 | Question: 05
Directions for the below question:Let $S$ be the set of all pairs $(i, j)$ where $ 1 \leq i \leq j < n$ and $n \geq 4$. Any two distinct number of $S$ are called ‘friends...
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CAT 2001 | Question: 30
For a Fibonacci sequence, from the third term onwards, each term in the sequence is the sum of the previous two terms in that sequence. If the difference in squares of se...
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CAT 2000 | Question: 59
What is the value of the following expression?$\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$$\frac{9}{19}$$\frac{10}{19}$$\frac{10}{...
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CAT 2000 | Question: 58
If $a_1 = 1$ and $a_{n+1} = 2a_{n + 5}, n = 1, 2, \dots ,$ then $a_{100}$ is equal to$(5 × 2^99 – 6)$$(5 × 2^99 + 6)$$(6 × 2^99 + 5)$$(6 × 2^99 – 5)$
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CAT 2002 | Question: 77
A student finds the sum $1 + 2 + 3 + \dots $ as his patience runs out. He found the sum as $575.$ When the teacher declared the result wrong, the student realized that he...
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CAT 2003 | Question: 1-128
The $288$-th term of the series $a,b,b,c,c,c,d,d,d,d,e,e,e,e,e,f,f,f,f,f,f, \dots$ is$u$$v$$w$$x$
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CAT 2014 | Question: 47
Direction for questions: Answer the questions based on the following information. A series $S_{1}$ of five positive integers is such that the third term is half the first...
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CAT 2014 | Question: 45
Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to.$1023$$2047$$4095$$8195$
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CAT 2004 | Question: 66
Consider the sequence of the numbers $a_1, a_2, a_3, \dots$ to infinity where $a_1 = 81.33$ and $a_2 = -19$, and $a_j = a_{j-1} - a_{j-2}$ for $j \geq 3$. What is the sum...
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CAT 2005 | Question: 14
If $a_1 =1$ and $a_{n+1}-3a_n +2 = 4n$ for every positive integer n then $a_{100}$ equals$3^{99} - 200$$3^{99} + 200$$3^{100} - 200$$3^{100} + 200$
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CAT 2006 | Question: 55
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals:$2/4...
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CAT 2007 | Question: 04
Directions for the below question:Let $S$ be the set of all pairs $(i, j)$ where $ 1 \leq i \leq j < n$ and $n \geq 4$. Any two distinct number of $S$ are called ‘friends...
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2 answers 2 answers
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CAT 2008 | Question: 12
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
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CAT 2008 | Question: 08
Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$$2008 - \frac{...
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What is the missing letter in this series:
What is the missing Letter in this series:a a b b ? cabcdeWhat is the missing letter in this series: c c d ? e f g g ...
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the positions of the elements
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$$\text{* H % 6 W 4 I δ U Z}$ If the positions of the last eighteen elements in the above arrangement are reserved, which of...
3 3 votes
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How many such numbers
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$$\text{* H % 6 W 4 I δ U Z}$ How many such numbers are there in the above arrangement, each of which is immediately prepare...
3 3 votes
3 answers 3 answers
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Which of the following is
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$$\text{* H % 6 W 4 I δ U Z}$Which of the following is the fifth to the right of the nineteenth element from the right end? ...
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Four of the following five are alike
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3 * H % 6 W 4 I δ U Z}$Four of the following five are alike in a certain way based on their positions in the above arrangement...
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Little confusion in reading the statement Required Clue here
Consider the following series:$\text{N 3 \$ A 2 % P 5 # 7 E R ¥ 11 T 9 B O}$if starting from A each alternate letter/number/symbol will be deleted which letter/number/sym...
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