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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
Find the next two terms of 7, 9, 12, 16,...
Choose an answer
18, 20
19, 22
20, 25
21, 27
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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
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 # 4
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 5
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 # 6
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 # 7
If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is
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Question # 8
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 9
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 # 10
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 # 11
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 # 12
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 # 13
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Question # 14
Sum of n terms of a geometric series if | r | < 1 is
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Question # 15
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 # 16
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
Choose an answer
191
193
211
None of these
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Question # 17
If A is such that a,A,B are in A.P then A is called
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A.M
Common ratio
Common difference
None of these
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Question # 18
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 # 19
The 26th term of the A.P -2,-4,10,.............is
Choose an answer
136
-136
148
-148
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Question # 20
1/2,1/3,1/4,1/5.........is
Choose an answer
a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 21
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 # 22
1 + 2 + 3 + ...... + n = ______
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Question # 23
The three consecutive numbers a,√ab,b are in
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G.P
H.P
G.M
None of these
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Question # 24
The n numbers A
1
,A
2
,A
3
,.....A
n
are called an arithmetic means between a and b if a.A
1
,A
2
,A
3
.....A
n
, b is ______
Choose an answer
An arithmetic series
An arithmetic sequence
A geometric sequence
A harmonic sequence
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Question # 25
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 # 26
If b
1
, b
2
, b
3
, ... are in G.P. with first term unity and common ratio r, then the minimum value of b
1
- b
3
+ b
5
is equal to
Choose an answer
3/4
1/4
1
None of these
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Question # 27
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 28
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 # 29
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 # 30
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
Choose an answer
4
6
8
10
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Question # 31
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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