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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
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 # 2
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 3
If a, b, c are in A.P., then 3
a
, 3
b
, 3
c
are in
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A.P.
G.P.
H.P.
None of these
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Question # 4
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 5
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 ______
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An arithmetic series
An arithmetic sequence
A geometric sequence
A harmonic sequence
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Question # 6
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 # 7
The sum of an indicated number of terms in a sequence is called
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sequence
progression
Series
Mean
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Question # 8
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 9
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 # 10
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 11
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Question # 12
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 13
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 # 14
If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is
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13
-13
18
-10
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Question # 15
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 16
No term of a harmonic sequence can be
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0
1
2
3
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Question # 17
The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is
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1
-15
9
2
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Question # 18
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Question # 19
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
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3/4
1/4
1
None of these
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Question # 20
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 21
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 22
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
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A.P.
G.P.
H.P.
None of these
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Question # 23
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 # 24
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 25
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 # 26
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 27
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 # 28
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 29
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 # 30
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
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2
26
27
1
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Question # 31
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0
1
2
3
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