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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
G is geometric mean between a and b if a, G, b is
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 2
A function whose domain is a subset of natural numbers is called ______
Choose an answer
Identity function
Sequence
Onto function
Series
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Question # 3
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 # 4
If G is a G.M between a and b then a,G,b are in
Choose an answer
A.P
H.P
G.P
None of these
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Question # 5
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 6
If x,y are two positive distinct numbers then
Choose an answer
A>G>H
A<G<H
A=G=H
None of these
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Question # 7
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
Choose an answer
-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 8
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
Choose an answer
n, a, b
n, a
n, b
n
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Question # 9
The number of divisors of 1029, 1547 and 122 are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 10
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 11
The sum of n terms of a series is denoted by
Choose an answer
d
n
S
n
a
n
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Question # 12
Write the first four terms of the arithmetic sequence 5, 2, -1, ... is
Choose an answer
3
-4
7
1
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Question # 13
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
Choose an answer
2
9
2
10
2
11
2
8
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Question # 14
If the domain of sequence is finite set then the sequence is called
Choose an answer
geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 15
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
Choose an answer
9998
9999
10000
None of these
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Question # 16
Arithmetic mean between a and b is
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Question # 17
an - an-1 will be common difference in an A.P if
Choose an answer
n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 18
H.M. between 3 and 7 is
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Question # 19
Choose an answer
1
2
3/2
5/2
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Question # 20
Choose an answer
2
-3/2
1
0
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Question # 21
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
Choose an answer
a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 22
The nth term of an A.P is (3n+5) Its 75th term is
Choose an answer
26
7
21
Cannot be determined
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Question # 23
A,G,H are in
Choose an answer
A.P
G.P
H.P
None of these
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Question # 24
The difference of two consecutive terms of an A.P. is called ______
Choose an answer
General term
Common ratio
Common difference
None of these
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Question # 25
The difference of two consecutive terms of an A.P is called the
Choose an answer
Common difference
Common ratio
Geometric series
Geometric mean
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Question # 26
An infinite arithmetic series is always
Choose an answer
Convergent
Oscillatory
Divergent
None of these
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Question # 27
How many numbers are there between 103 and 750 which are divisible by 6
Choose an answer
125
107
108
113
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Question # 28
An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is
Choose an answer
2 mn
1/2 mn
mn
mn
2
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Question # 29
The 6th term of the sequence 7,9,12,16......is
Choose an answer
27
32
20
19
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Question # 30
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
Choose an answer
2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 31
The fifth term of the sequence a
n
= 2n + 3 is ______
Choose an answer
13
-13
8
3
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