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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
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1
2
3/2
5/2
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Question # 2
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Question # 3
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Question # 4
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 # 5
Which term of the A.P 5,8,11,24.............is 320
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104th
106th
105th
64th
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Question # 6
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 # 7
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Question # 8
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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Question # 9
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 # 10
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 11
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 # 12
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 13
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 # 14
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 # 15
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 16
The n numbers A
1
,A
2
,A
3
,.....A
n
are called an arithmetic means between a and b if a.A
1
,A
2
,A
3
.....A
n
, b is ______
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An arithmetic series
An arithmetic sequence
A geometric sequence
A harmonic sequence
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Question # 17
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 # 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
= 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 # 20
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 # 21
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 # 22
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 # 23
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1/2
2
1/4
4
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Question # 24
If a
1
= 3, r = 2, then the nth term of the G.P. is
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2.3
n-1
3.2
n
3.2
n+1
3.2
n-1
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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
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 # 27
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 28
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 29
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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Question # 30
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12
13
14
15
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Question # 31
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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