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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The general term of a sequence is denoted by
Choose an answer
a
1
a
n
n
s
n
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Question # 2
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
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35
36
48
49
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Question # 3
The harmonic mean between a and b is
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Question # 4
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 5
If x,y are two -ve distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 6
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 # 7
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
=
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a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 8
Choose an answer
0
1
2
3
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Question # 9
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 10
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 # 11
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 # 12
A sequence having no last term is called
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arithmetic sequence
Geometric sequence
Finite sequence
Infinite sequence
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Question # 13
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 # 14
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 # 15
The general term of the A.P. is
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a
1
+ (n - 1) d
n + (a
1
- 1) d
d + (n - 1) a
1
None of these
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Question # 16
An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is
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2 mn
1/2 mn
mn
mn
2
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Question # 17
If Sn is a definite number as n → ∞,then the geometric series is
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Convergent
Divergent
Oscillatroy
None of these
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Question # 18
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
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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 # 19
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 # 20
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 # 21
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 # 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
The difference of two consecutive terms of an A.P is called the
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Common difference
Common ratio
Geometric series
Geometric mean
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Question # 24
No term of a harmonic sequence can be
Choose an answer
0
1
2
3
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Question # 25
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 # 26
If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in
Choose an answer
A.M
G.M
H.M
G.P
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Question # 27
A Geometric Series is divergent only if
Choose an answer
|r|>1
|r|≥1
|r|=1
None of these
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Question # 28
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 29
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 30
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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