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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
If a
n
= 2n -3, write the first four terms
Choose an answer
-3, -1, 1, 3
1, 3, 5, 7
-1, 1, 3, 5
None of these
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Question # 2
If x,y are two -ve distinct numbers then
Choose an answer
A>G>H
A<G<H
A=G=H
None of these
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Question # 3
The 6th term of the sequence 7,9,12,16......is
Choose an answer
27
32
20
19
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Question # 4
If all members of a sequence are real numbers then it is called
Choose an answer
A.P
Real Sequence
G.P
None of these
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Question # 5
A sequence having no last term is called
Choose an answer
arithmetic sequence
Geometric sequence
Finite sequence
Infinite sequence
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Question # 6
A,G,H are in
Choose an answer
A.P
G.P
H.P
None of these
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Question # 7
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
Choose an answer
30
27
20
21
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Question # 8
The fifth term of the sequence a
n
= 2n + 3 is ______
Choose an answer
13
-13
8
3
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Question # 9
The 31 term of the A.P 5,2,-1.....is
Choose an answer
-82
82
85
-85
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Question # 10
Choose an answer
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Question # 11
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
Choose an answer
pqr
1
pq
pqr
2
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Question # 12
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 13
1,1/3,1/5,1/7,1/9..... is a
Choose an answer
geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 14
an - an-1 will be common difference in an A.P if
Choose an answer
n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 15
The series obtained by adding the terms of an arithmetic sequence is called the
Choose an answer
Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 16
The seventh term of an A.P whose first term is P and common difference is q. is
Choose an answer
P-6q
P+6q
P-4q
P-nq
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Question # 17
3, 6, 12,.... is
Choose an answer
A.P
G.P.
H.P.
None of these
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Question # 18
The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
Choose an answer
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Question # 19
The 7th term of the A.P 7,11,15,is
Choose an answer
24
31
26
23
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Question # 20
If a, b, c, d, e, f are in A.P.,then e-c is equal to
Choose an answer
2(c - a)
2(f - d)
2(d - c)
d - c
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Question # 21
Find the geometric mean between 4 and 16
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Question # 22
The series obtained by adding the terms of a geometric sequence is called
Choose an answer
Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 23
The difference of two consecutive terms of an A.P. is called ______
Choose an answer
General term
Common ratio
Common difference
None of these
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Question # 24
If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is
Choose an answer
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Question # 25
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
Choose an answer
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Question # 26
A Geometric Series is divergent only if
Choose an answer
|r|>1
|r|≥1
|r|=1
None of these
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Question # 27
If #n = (n-5)2 + 5, then find #3 x #4.
Choose an answer
54
12
4
9
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Question # 28
H.M. between 3 and 7 is
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Question # 29
If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is
Choose an answer
13
-13
18
-10
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Question # 30
The number of divisors of 1029, 1547 and 122 are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 31
No term of a harmonic sequence can be
Choose an answer
0
1
2
3
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