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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
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 # 2
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 3
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 # 4
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 # 5
The nth term of an A.P., is 12-4n. Its common difference is
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8
4
4
16
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Question # 6
The sum of indicated terms of a sequence is called
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Arithmetic series
Series
Harmonic series
None of these
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Question # 7
an -an-1,∀n∈N∧n>1 in an A.P is called
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Common difference
nth term
Common ratio
None of these
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Question # 8
A series consisting of an unlimited number of terms is termed as an
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Finite sequence
Infinite sequence
Infinite series
geometric sequence
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Question # 9
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 # 10
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 # 11
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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Question # 12
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Question # 13
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 14
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Question # 15
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
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4
6
8
10
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Question # 16
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 17
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 18
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
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H.P.
G.P.
A.P.
None of these
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Question # 19
The general term of the A.P. is
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a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 20
The 6th term of the sequence 7,9,12,16......is
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27
32
20
19
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Question # 21
The sum of first 60 natural numbers is
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1830
3660
1640
1770
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Question # 22
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 23
H.M. between 3 and 7 is
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Question # 24
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 # 25
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 26
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 # 27
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1/2
2
1/4
4
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Question # 28
The nth term of an A.P is (3n+5) Its 75th term is
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26
7
21
Cannot be determined
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Question # 29
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 30
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