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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
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Question # 2
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 3
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 4
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 # 5
The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is
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1
-15
9
2
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Question # 6
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
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H.P.
A.P.
G.P.
None of these
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Question # 7
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 # 8
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 # 9
The 7th term of the A.P 7,11,15,is
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24
31
26
23
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Question # 10
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Question # 11
The sum of an indicated number of terms in a sequence is called
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sequence
progression
Series
Mean
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Question # 12
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 # 13
Write the first four terms of the arithmetic sequence 5, 2, -1, ... is
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3
-4
7
1
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Question # 14
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
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2
26
27
1
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Question # 15
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 # 16
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0
1
2
3
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Question # 17
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 18
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 # 19
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 # 20
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 # 21
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 22
The three consecutive numbers a,√ab,b are in
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G.P
H.P
G.M
None of these
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Question # 23
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 # 24
If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in
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A.M
G.M
H.M
G.P
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Question # 25
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 26
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
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1
0
-1
-2
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Question # 27
The sum of an infinite geometric series exist if
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| r | < 1
| r | > 1
r = 1
r = -1
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Question # 28
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 29
No term of a geometric sequence can be
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0
1
2
3
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Question # 30
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