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Mathematics ECAT Pre Engineering Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
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 # 2
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 3
Find the geometric mean between 4 and 16
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Question # 4
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 # 5
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 # 6
1 + 2 + 3 + ...... + n = ______
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Question # 7
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 # 8
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 # 9
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 # 10
The 26th term of the A.P -2,-4,10,.............is
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136
-136
148
-148
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Question # 11
Geometric mean between a and b is
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Question # 12
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 # 13
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 # 14
For an A.P common difference d
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Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 15
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 # 16
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 17
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Question # 18
The element range of sequence are called
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Series
progression
Members
Terms
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Question # 19
H
1
, H
2
, H
3
, .... H
n
are called n harmonic means between a and b if a, H
1
, H
2
, H
3
, ... H
n
b are in
Choose an answer
H.P.
G.P.
A.P.
None of these
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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
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 # 22
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 23
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 # 24
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 # 25
No term of a geometric sequence can be
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0
1
2
3
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Question # 26
A series consisting of an unlimited number of terms is termed as an
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Finite sequence
Infinite sequence
Infinite series
geometric sequence
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Question # 27
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 # 28
If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a
2
, q
2
, b
2
are in
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A.P.
G.P.
H.P.
None of these
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Question # 29
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Question # 30
The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
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