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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 2
The series obtained by adding the terms of a geometric sequence is called
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Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 3
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
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7
9
11
13
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Question # 4
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12
13
14
15
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Question # 5
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 6
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 7
If all members of a sequence are real numbers then it is called a
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Series
Function
Real sequence
Range
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Question # 8
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2
-3/2
1
0
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Question # 9
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 10
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 # 11
If G is a G.M between a and b then a,G,b are in
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A.P
H.P
G.P
None of these
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Question # 12
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 13
H
1
, H
2
, H
3
, .... H
n
are called n harmonic means between a and b if a, H
1
, H
2
, H
3
, ... H
n
b are in
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H.P.
G.P.
A.P.
None of these
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Question # 14
The third term of a G.P. is 4, The product of first five terms is
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43
45
46
None of these
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Question # 15
The 7th term of the A.P 7,11,15,is
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24
31
26
23
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Question # 16
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15/23
7/15
7/8
15/7
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Question # 17
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 18
If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x
y-z
. y
z-x
. z
x-y
eqals
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xyz
0
1
None of these
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Question # 19
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 # 20
1 + 2 + 3 + ...... + n = ______
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Question # 21
Arithmetic mean between x - 3 and x + 5 is
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x + 1
x + 2
x + 3
x + 4
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Question # 22
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 23
An infinite arithmetic series is always
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Convergent
Oscillatory
Divergent
None of these
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Question # 24
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 # 25
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 # 26
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 # 27
Arithmetic mean between a and b is
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Question # 28
The sum of an infinite geometric series exist if
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| r | < 1
| r | > 1
r = 1
r = -1
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Question # 29
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 30
Sum of first n terms of an arithmetic series is
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Question # 31
H.M. between 3 and 7 is
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