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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The sum of first 60 natural numbers is
Choose an answer
1830
3660
1640
1770
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Question # 2
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
Choose an answer
18
6
3
0
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Question # 3
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Question # 4
The 6th term of the sequence 7,9,12,16......is
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27
32
20
19
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Question # 5
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
Choose an answer
30
27
20
21
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Question # 6
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 7
If a, b, c, d, e, f are in A.P.,then e-c is equal to
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2(c - a)
2(f - d)
2(d - c)
d - c
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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
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n, a, b
n, a
n, b
n
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Question # 9
In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x
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35
36
48
49
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Question # 10
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 # 11
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 # 12
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
Choose an answer
2
26
27
1
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Question # 13
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
Choose an answer
1
0
-1
-2
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Question # 14
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
Choose an answer
H.P.
G.P.
A.P.
None of these
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Question # 15
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 16
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 # 17
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 # 18
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 # 19
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 20
Choose an answer
15/23
7/15
7/8
15/7
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Question # 21
If all members of a sequence are real numbers then it is called
Choose an answer
A.P
Real Sequence
G.P
None of these
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Question # 22
A series consisting of an unlimited number of terms is termed as an
Choose an answer
Finite sequence
Infinite sequence
Infinite series
geometric sequence
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Question # 23
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Question # 24
Choose an answer
1/2
2
1/4
4
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Question # 25
If a, b, c are in A.P., then 3
a
, 3
b
, 3
c
are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 26
The series obtained by adding the terms of a geometric sequence is called
Choose an answer
Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 27
Arithmetic mean between x - 3 and x + 5 is
Choose an answer
x + 1
x + 2
x + 3
x + 4
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Question # 28
A number H is said to be the H.M. between a and b if a, H, b are in
Choose an answer
A.P.
G. P.
H. P.
None of these
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Question # 29
The three consecutive numbers a,√ab,b are in
Choose an answer
G.P
H.P
G.M
None of these
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Question # 30
A number A is called the arithmetic mean between a and b if a, A, b is ______
Choose an answer
Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 31
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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