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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
For an A.P common difference d
Choose an answer
Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 2
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Question # 3
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 # 4
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in
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A.P.
G.P.
H.P.
None of these
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Question # 5
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
Choose an answer
20
17
25
30
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Question # 6
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 7
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Question # 8
If a, b, c, d, e, f are in A.P.,then e-c is equal to
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2(c - a)
2(f - d)
2(d - c)
d - c
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Question # 9
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 # 10
The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
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Question # 11
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 # 12
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 # 13
The sixth term of the sequence 1,3,12,60....is
Choose an answer
1500
72
2160
2520
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Question # 14
If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is
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Question # 15
The sum of indicated terms of a sequence is called
Choose an answer
Arithmetic series
Series
Harmonic series
None of these
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Question # 16
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 # 17
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 18
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 19
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 # 20
Choose an answer
2
-3/2
1
0
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Question # 21
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 22
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 23
The 6th term of the sequence 7,9,12,16......is
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27
32
20
19
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Question # 24
The general term of the A.P. is
Choose an answer
a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 25
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
Choose an answer
2
9
2
10
2
11
2
8
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Question # 26
A sequence of number whose reciprocals form an arithmetic sequence is called
Choose an answer
Geometric sequence
Arithmetic series
Harmonic sequence
Harmonic series
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Question # 27
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 # 28
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 # 29
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 # 30
The series obtained by adding the terms of a geometric sequence is called
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Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 31
The sum of first twenty odd integers in A.P is
Choose an answer
400
397
404
408
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