Register

Recent questions tagged sequences&series

0 votes
1 answer
121
series
$563 \; 647 \; 479 \; 815$_______ what is the next number in series
$563 \; 647 \; 479 \; 815$_______ what is the next number in series
0 votes
1 answer
122
series
$3 \; 8 \; 13 \; 24 \; 41$ ____ next number in series is ?
$3 \; 8 \; 13 \; 24 \; 41$ ____next number in series is ?
4 votes
3 answers
123
GATE 2014-EC 6
Find the next term in the sequence: 13M , 17Q, 19S,________ (A)21W (B)21V (C)23W (D)23V
Find the next term in the sequence: 13M , 17Q, 19S,________(A)21W (B)21V (C)23W (D)23V
0 votes
2 answers
124
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 ? 1) r-1 2)r+1 3)r 4) The new series is not in G.P. here G.P Is 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...
0 votes
0 answers
125
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 one of the numbers $6, 12, 18, \dots)?$ $80$ $81$ $82$ $83$
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...
0 votes
0 answers
128
CAT 2000 | Question: 59
What is the value of the following expression? $\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$ $\frac{9}{19}$ $\frac{10}{19}$ $\frac{10}{21}$ $\frac{11}{21}$
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}$$\frac{10}{...
0 votes
0 answers
129
CAT 2000 | Question: 58
If $a_1 = 1$ and $a_{n+1} = 2a_{n + 5}, n = 1, 2, \dots ,$ then $a_{100}$ is equal to $(5 × 2^99 – 6)$ $(5 × 2^99 + 6)$ $(6 × 2^99 + 5)$ $(6 × 2^99 – 5)$
If $a_1 = 1$ and $a_{n+1} = 2a_{n + 5}, n = 1, 2, \dots ,$ then $a_{100}$ is equal to$(5 × 2^99 – 6)$$(5 × 2^99 + 6)$$(6 × 2^99 + 5)$$(6 × 2^99 – 5)$
0 votes
0 answers
130
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 missed a number. What was the number the student missed? $16$ $18$ $14$ $20$
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...
1 votes
1 answer
131
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 $u$ $v$ $w$ $x$
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$$x$
0 votes
1 answer
133
CAT 2014 | Question: 45
Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to. $1023$ $2047$ $4095$ $8195$
Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to.$1023$$2047$$4095$$8195$
0 votes
1 answer
134
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 of the first $6002$ terms of this sequence? $-100.33$ $-30.00$ $62.33$ $119.33$
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...
0 votes
0 answers
135
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 $3^{99} - 200$ $3^{99} + 200$ $3^{100} - 200$ $3^{100} + 200$
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$$3^{100} + 200$
0 votes
1 answer
136
CAT 2006 | Question: 55
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals: $2/495$ $2/477$ $12/55$ $1/1485$ $1/2970$
Consider the sequence where the $n^{\text{th}}$ term $t_n = \frac{n}{n+2}, n=1, 2, \dots.$ The value of $t_3 \times t_4 \times t_5 \times \dots \times t_{53}$ equals:$2/4...
0 votes
2 answers
138
CAT 2008 | Question: 12
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is $78$ $19$ $20$ $27$ $22$
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
3 votes
1 answer
141
the positions of the elements
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$ $\text{* H % 6 W 4 I δ U Z}$ If the positions of the last eighteen elements in the above arrangement are reserved, which of te following will be the seventeenth from the left end? $\text{E}$ $\text{P}$ $\text{W}$ $6$ None of these
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$$\text{* H % 6 W 4 I δ U Z}$ If the positions of the last eighteen elements in the above arrangement are reserved, which ...
3 votes
2 answers
142
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 prepared by a consonant and immediately followed by a symbol? One Two Three Four More than four
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$$\text{* H % 6 W 4 I δ U Z}$ How many such numbers are there in the above arrangement, each of which is immediately prepa...
3 votes
3 answers
143
Which of the following is
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$ $\text{* H % 6 W 4 I δ U Z}$ Which of the following is the fifth to the right of the nineteenth element from the right end? $\text{P}$ $\text{V}$ $\text{W}$ $\text{8}$ None of these
$\text{R @ 2 9 T V A Y 5 © # J 1 P 8 Q \$ E 3}$$\text{* H % 6 W 4 I δ U Z}$Which of the following is the fifth to the right of the nineteenth element from the right end...
3 votes
1 answer
145
Little confusion in reading the statement Required Clue here
Consider the following series:$\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/sy...
Page: