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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
If a
n
= 2n -3, write the first four terms
Choose an answer
-3, -1, 1, 3
1, 3, 5, 7
-1, 1, 3, 5
None of these
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Question # 2
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 # 3
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 # 4
Choose an answer
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Question # 5
Sequence also called..............
Choose an answer
Series
Function
progressions
Elements
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Question # 6
A sequence whose reciprocal is an A.P is called
Choose an answer
Oscillator
H.P
G.P
None of these
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Question # 7
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
Choose an answer
0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 8
The 26th term of the A.P -2,-4,10,.............is
Choose an answer
136
-136
148
-148
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Question # 9
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
Choose an answer
A.M
A.P
G.P
G.M
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Question # 10
Which term of the A.P 5,8,11,24.............is 320
Choose an answer
104th
106th
105th
64th
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Question # 11
1 + 2 + 3 + ...... + n = ______
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Question # 12
p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then
Choose an answer
q is an odd integer
r is an even integer
p is an even integer
s is an odd integer
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Question # 13
The difference of two consecutive terms of an A.P is called the
Choose an answer
Common difference
Common ratio
Geometric series
Geometric mean
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Question # 14
Choose an answer
2
-3/2
1
0
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Question # 15
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 # 16
an -an-1,∀n∈N∧n>1 in an A.P is called
Choose an answer
Common difference
nth term
Common ratio
None of these
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Question # 17
Choose an answer
2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 18
A sequence is a functions whose domain is a subset of the set of
Choose an answer
Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 19
Find the geometric mean between 4 and 16
Choose an answer
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Question # 20
G is geometric mean between a and b if a, G, b is
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 21
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 # 22
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 # 23
The fifth term of the sequence a
n
= 2n + 3 is ______
Choose an answer
13
-13
8
3
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Question # 24
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 # 25
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Question # 26
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 # 27
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 # 28
-2, 1, 4, 7,.... is ______
Choose an answer
Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 29
Choose an answer
1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 30
The sum of n terms of a series is denoted by
Choose an answer
d
n
S
n
a
n
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Question # 31
Choose an answer
0
1
2
3
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