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ECAT Pre General Science Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 2
The three consecutive numbers a,√ab,b are in
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G.P
H.P
G.M
None of these
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Question # 3
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 # 4
The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is
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1
-15
9
2
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Question # 5
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Question # 6
The sum of an indicated number of terms in a sequence is called
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sequence
progression
Series
Mean
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Question # 7
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 # 8
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1/2
2
1/4
4
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Question # 9
If G is a G.M between a and b then a,G,b are in
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A.P
H.P
G.P
None of these
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Question # 10
The sixth term of the sequence 1,3,12,60....is
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1500
72
2160
2520
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Question # 11
If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is
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13
-13
18
-10
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Question # 12
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A.P.
G.P.
H.P.
None of these
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Question # 13
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 14
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 # 15
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 16
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 17
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 # 18
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12
13
14
15
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Question # 19
H.M. between 3 and 7 is
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Question # 20
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 21
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 22
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 23
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 24
Arithmetic mean between a and b is
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Question # 25
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 26
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 # 27
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 28
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
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65
67
71
75
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Question # 29
If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is
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Question # 30
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
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A.P.
G.P.
H.P.
None of these
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Question # 31
5th term of a G.P. is 2, then the product of first 9 terms is
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256
128
512
None of these
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