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Online Tests
Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
Choose an answer
-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 2
5th term of a G.P. is 2, then the product of first 9 terms is
Choose an answer
256
128
512
None of these
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Question # 3
The 7th term of the A.P 7,11,15,is
Choose an answer
24
31
26
23
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Question # 4
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
Choose an answer
3.5
3
4
None of these
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Question # 5
Choose an answer
15/23
7/15
7/8
15/7
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Question # 6
An indicated sum of terms of a sequence is represented by
Choose an answer
Sn
an
S(n)
{Sn}
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Question # 7
Which one represents a sequence
Choose an answer
an
Sn
a(n)
{an}
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Question # 8
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 # 9
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 # 10
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
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 11
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 12
An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is
Choose an answer
2 mn
1/2 mn
mn
mn
2
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Question # 13
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
Choose an answer
35
36
48
49
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Question # 14
Choose an answer
1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 15
The general term of a sequence is denoted by
Choose an answer
a
1
a
n
n
s
n
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Question # 16
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 # 17
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
Choose an answer
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Question # 18
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 # 19
Choose an answer
1
2
3/2
5/2
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Question # 20
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 # 21
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
Choose an answer
a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 22
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 # 23
How many numbers are there between 103 and 750 which are divisible by 6
Choose an answer
125
107
108
113
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Question # 24
Choose an answer
1/2
2
1/4
4
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Question # 25
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 # 26
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 # 27
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 # 28
The sum of first twenty odd integers in A.P is
Choose an answer
400
397
404
408
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Question # 29
The seventh term of an A.P whose first term is P and common difference is q. is
Choose an answer
P-6q
P+6q
P-4q
P-nq
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Question # 30
For an arithmetic series to be convergent it is necessary that the series has
Choose an answer
Finite terms
d<0
Infinite terms
None of these
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