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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The 6th term of the sequence 7,9,12,16......is
Choose an answer
27
32
20
19
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Question # 2
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 # 3
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 # 4
The element range of sequence are called
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Series
progression
Members
Terms
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Question # 5
Find the geometric mean between 4 and 16
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Question # 6
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 # 7
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12
13
14
15
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Question # 8
an - an-1 will be common difference in an A.P if
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n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 9
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 10
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 11
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 # 12
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 # 13
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 # 14
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
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30
27
20
21
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Question # 15
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 # 16
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 # 17
The sixth term of the sequence 1,3,12,60....is
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1500
72
2160
2520
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Question # 18
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
Choose an answer
1
0
-1
-2
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Question # 19
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 20
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 # 21
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 # 22
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 # 23
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 24
an -an-1,∀n∈N∧n>1 in an A.P is called
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Common difference
nth term
Common ratio
None of these
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Question # 25
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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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
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 # 28
The sum of n terms of a series is denoted by
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d
n
S
n
a
n
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Question # 29
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Question # 30
If x,y are two positive distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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