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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
A sequence of number whose reciprocals form an arithmetic sequence is called
Choose an answer
Geometric sequence
Arithmetic series
Harmonic sequence
Harmonic series
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Question # 2
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 # 3
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 4
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2
-3/2
1
0
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Question # 5
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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Question # 6
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 # 7
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 8
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 9
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Question # 10
An infinite arithmetic series is always
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Convergent
Oscillatory
Divergent
None of these
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Question # 11
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 # 12
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 # 13
The sum of all 2 digit number is
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4750
3776
4895
4905
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Question # 14
If a
n
= 2n -3, write the first four terms
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-3, -1, 1, 3
1, 3, 5, 7
-1, 1, 3, 5
None of these
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Question # 15
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 16
An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is
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2 mn
1/2 mn
mn
mn
2
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Question # 17
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A.P.
G.P.
H.P.
None of these
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Question # 18
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 # 19
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 # 20
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 # 21
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
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n, a, b
n, a
n, b
n
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Question # 22
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
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 23
Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is
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Question # 24
If the domain of sequence is finite set then the sequence is called
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geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 25
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Question # 26
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in
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A.P.
G.P.
H.P.
None of these
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Question # 27
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 28
The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is
Choose an answer
1
-15
9
2
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Question # 29
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 # 30
p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then
Choose an answer
q is an odd integer
r is an even integer
p is an even integer
s is an odd integer
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Question # 31
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
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-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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