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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
A Series which does not coverage to a Unique sum is called
Choose an answer
Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 2
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 # 3
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
Choose an answer
H.P.
A.P.
G.P.
None of these
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Question # 4
The fifth term of the sequence a
n
= 2n + 3 is ______
Choose an answer
13
-13
8
3
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Question # 5
Choose an answer
0
1
2
3
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Question # 6
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 # 7
Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is
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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
Choose an answer
A. P.
G. P.
H. P.
None of these
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Question # 9
Choose an answer
an A.P.
a G.P.
a H.P.
None of these
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Question # 10
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Question # 11
Choose an answer
12
13
14
15
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Question # 12
An infinite arithmetic series is always
Choose an answer
Convergent
Oscillatory
Divergent
None of these
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Question # 13
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 # 14
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 # 15
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 16
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 # 17
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 # 18
Sequence also called..............
Choose an answer
Series
Function
progressions
Elements
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Question # 19
If A is such that a,A,B are in A.P then A is called
Choose an answer
A.M
Common ratio
Common difference
None of these
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Question # 20
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 # 21
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 # 22
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 # 23
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
Choose an answer
pqr
1
pq
pqr
2
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Question # 24
If all members of a sequence are real numbers then it is called
Choose an answer
A.P
Real Sequence
G.P
None of these
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Question # 25
The sum of all 2 digit number is
Choose an answer
4750
3776
4895
4905
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Question # 26
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 # 27
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 # 28
A,G,H are in
Choose an answer
A.P
G.P
H.P
None of these
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Question # 29
If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x
y-z
. y
z-x
. z
x-y
eqals
Choose an answer
xyz
0
1
None of these
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Question # 30
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
Choose an answer
7
9
11
13
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Question # 31
If the domain of sequence is finite set then the sequence is called
Choose an answer
geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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