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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
Sequence also called..............
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Series
Function
progressions
Elements
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Question # 2
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 3
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 # 4
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 # 5
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A.P.
G.P.
H.P.
None of these
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Question # 6
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Question # 7
The sum of all 2 digit number is
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4750
3776
4895
4905
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Question # 8
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 9
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 # 10
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
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A.P.
G.P.
H.P.
None of these
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Question # 11
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Question # 12
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 13
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 # 14
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 # 15
1 + 2 + 3 + ...... + n = ______
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Question # 16
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 # 17
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 18
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 19
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 # 20
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 21
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 22
G is geometric mean between a and b if a, G, b is
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A.P.
G.P.
H.P.
None of these
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Question # 23
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 # 24
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 # 25
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 # 26
If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is
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Question # 27
Sum of n terms of a geometric series if | r | < 1 is
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Question # 28
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
Choose an answer
2
9
2
10
2
11
2
8
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Question # 29
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 # 30
The element range of sequence are called
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Series
progression
Members
Terms
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Question # 31
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 32
Write the first four terms of the arithmetic sequence 5, 2, -1, ... is
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3
-4
7
1
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Question # 33
Choose an answer
an A.P.
a G.P.
a H.P.
None of these
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Question # 34
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2
-3/2
1
0
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Question # 35
An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is
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2 mn
1/2 mn
mn
mn
2
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Question # 36
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 # 37
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 # 38
The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
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