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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The nth term of a G.P. is
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a
1
r
n
a
1
r
n+1
a
1
r
n-1
a
1
r
-n
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Question # 2
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
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2
9
2
10
2
11
2
8
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Question # 3
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 # 4
If G is a G.M between a and b then a,G,b are in
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A.P
H.P
G.P
None of these
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Question # 5
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 # 6
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 # 7
1 + 2 + 3 + ...... + n = ______
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Question # 8
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 # 9
If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x
y-z
. y
z-x
. z
x-y
eqals
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xyz
0
1
None of these
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Question # 10
The nth term of an A.P is (3n+5) Its 75th term is
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26
7
21
Cannot be determined
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Question # 11
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 12
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 # 13
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
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65
67
71
75
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Question # 14
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 # 15
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Question # 16
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 # 17
Arithmetic mean between a and b is
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Question # 18
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1/2
2
1/4
4
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Question # 19
If A is such that a,A,B are in A.P then A is called
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A.M
Common ratio
Common difference
None of these
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Question # 20
Sum of n terms of a geometric series if | r | < 1 is
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Question # 21
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 # 22
A Series which does not coverage to a Unique sum is called
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Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 23
H.M. between 3 and 7 is
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Question # 24
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 25
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
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A.P.
G.P.
H.P.
None of these
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Question # 26
If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is
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13
-13
18
-10
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Question # 27
The seventh term of an A.P whose first term is P and common difference is q. is
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P-6q
P+6q
P-4q
P-nq
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Question # 28
How many numbers are there between 103 and 750 which are divisible by 6
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125
107
108
113
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Question # 29
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 # 30
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 # 31
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0
1
2
3
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