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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
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15/23
7/15
7/8
15/7
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Question # 4
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 5
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
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n, a, b
n, a
n, b
n
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Question # 6
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1/2
2
1/4
4
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Question # 7
For three consecutive terms in A.P middle term is called
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A.M
nth term
Central term
None of these
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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
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
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-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 10
The harmonic mean between a and b is
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Question # 11
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 12
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 # 13
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 14
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 # 15
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 16
Arithmetic mean between x - 3 and x + 5 is
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x + 1
x + 2
x + 3
x + 4
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Question # 17
The formula an = arn-1represents
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nth term of G.P
Sum of the first n terms
G.M between a and b
None of these
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Question # 18
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 # 19
Sum of first n terms of an arithmetic series is
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Question # 20
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 # 21
The next term of the sequence 1, 2, 4, 7, 11, ..... is.
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15
16
17
18
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Question # 22
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 # 23
1 + 2 + 3 + ...... + n = ______
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Question # 24
The 26th term of the A.P -2,-4,10,.............is
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136
-136
148
-148
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Question # 25
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 26
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 # 27
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 # 28
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 29
If all members of a sequence are real numbers then it is called a
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Series
Function
Real sequence
Range
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Question # 30
If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is
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Question # 31
Choose an answer
2
-3/2
1
0
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