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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
Arithmetic mean between a and b is
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Question # 2
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 3
How many numbers are there between 103 and 750 which are divisible by 6
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125
107
108
113
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Question # 4
If a, b, c are in A.P., then 3
a
, 3
b
, 3
c
are in
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A.P.
G.P.
H.P.
None of these
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Question # 5
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 6
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 7
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 8
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 9
Write the first four terms of the arithmetic sequence 5, 2, -1, ... is
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3
-4
7
1
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Question # 10
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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Question # 11
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 12
The harmonic mean between a and b is
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Question # 13
The sum of n terms of a series is denoted by
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d
n
S
n
a
n
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Question # 14
The formula an = arn-1represents
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nth term of G.P
Sum of the first n terms
G.M between a and b
None of these
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Question # 15
G is geometric mean between a and b if a, G, b is
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A.P.
G.P.
H.P.
None of these
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Question # 16
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 17
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
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H.P.
A.P.
G.P.
None of these
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Question # 18
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 19
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 20
Find the geometric mean between 4 and 16
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Question # 21
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 22
If A is such that a,A,B are in A.P then A is called
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A.M
Common ratio
Common difference
None of these
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Question # 23
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
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A.P.
G.P.
H.P.
None of these
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Question # 24
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 25
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
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20
17
25
30
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Question # 26
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 27
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 28
The seventh term of an A.P whose first term is P and common difference is q. is
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P-6q
P+6q
P-4q
P-nq
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Question # 29
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15/23
7/15
7/8
15/7
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Question # 30
No term of a geometric sequence can be
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0
1
2
3
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Question # 31
If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is
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13
-13
18
-10
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Question # 32
The next term of the sequence 1, 2, 4, 7, 11, ..... is.
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15
16
17
18
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Question # 33
The sixth term of the sequence 1,3,12,60....is
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1500
72
2160
2520
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Question # 34
The general term of a sequence is denoted by
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a
1
a
n
n
s
n
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Question # 35
If x,y are two positive distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 36
The fifth term of the sequence a
n
= 2n + 3 is ______
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13
-13
8
3
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Question # 37
No term of a harmonic sequence can be
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0
1
2
3
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Question # 38
The difference of two consecutive terms of an A.P is called the
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Common difference
Common ratio
Geometric series
Geometric mean
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