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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 2
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Question # 3
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2
-3/2
1
0
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Question # 4
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 # 5
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 6
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 7
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 8
A sequence having no last term is called
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arithmetic sequence
Geometric sequence
Finite sequence
Infinite sequence
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Question # 9
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
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8
4
-4
8
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Question # 10
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 # 11
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 12
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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Question # 13
The sum of first 60 natural numbers is
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1830
3660
1640
1770
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Question # 14
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Question # 15
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 # 16
For an A.P common difference d
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Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 17
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 # 18
A Series which does not coverage to a Unique sum is called
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Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 19
Sequence also called..............
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Series
Function
progressions
Elements
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Question # 20
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1/2
2
1/4
4
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Question # 21
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 # 22
No term of a geometric sequence can be
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0
1
2
3
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Question # 23
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 # 24
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 25
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 # 26
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
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G.P.
A.P.
H.P.
None of these
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Question # 27
The nth term of a G.P. is
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a
1
r
n
a
1
r
n+1
a
1
r
n-1
a
1
r
-n
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Question # 28
5th term of a G.P. is 2, then the product of first 9 terms is
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256
128
512
None of these
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Question # 29
Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is
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Question # 30
Which term of the A.P 5,8,11,24.............is 320
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104th
106th
105th
64th
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Question # 31
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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