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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
Choose an answer
2
-3/2
1
0
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Question # 2
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 # 3
No term of a harmonic sequence can be
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0
1
2
3
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Question # 4
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 5
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 # 6
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 # 7
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 # 8
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 # 9
Write the first four terms of the sequence if a
n
= (-1)
n
n
2
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-1, 4, -9, 16
1, -4, 9, 16
1, 4, 9, 16
None of these
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Question # 10
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Question # 11
If all members of a sequence are real numbers then it is called
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A.P
Real Sequence
G.P
None of these
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Question # 12
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 # 13
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 # 14
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
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20
17
25
30
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Question # 15
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Question # 16
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 17
5th term of a G.P. is 2, then the product of first 9 terms is
Choose an answer
256
128
512
None of these
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Question # 18
What is the 26th term of the sequence, if its general term is a
n = (-1)
n+1
Choose an answer
2
26
27
1
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Question # 19
An indicated sum of terms of a sequence is represented by
Choose an answer
Sn
an
S(n)
{Sn}
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Question # 20
The 6th term of the sequence 7,9,12,16......is
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27
32
20
19
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Question # 21
The nth term of an A.P., is 12-4n. Its common difference is
Choose an answer
8
4
4
16
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Question # 22
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 23
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 # 24
A number A is said to be the A.M between the two numbers a and b if a, A, b are in
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A.M
A.P
G.P
G.M
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Question # 25
A series consisting of an unlimited number of terms is termed as an
Choose an answer
Finite sequence
Infinite sequence
Infinite series
geometric sequence
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Question # 26
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 27
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 28
If a
1
= 3, r = 2, then the nth term of the G.P. is
Choose an answer
2.3
n-1
3.2
n
3.2
n+1
3.2
n-1
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Question # 29
Arithmetic mean between a and b is
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Question # 30
The formula an = a +(n-1)d for an A.P is called
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nth term of an A.P
Sum of first n terms
A,M between a and b
None of the above
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Question # 31
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
Choose an answer
A.P.
G.P.
H.P.
None of these
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