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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers
Question # 1
The sixth term of the sequence 1,3,12,60....is
Choose an answer
1500
72
2160
2520
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Question # 2
The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
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Question # 3
The seventh term of an A.P whose first term is P and common difference is q. is
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P-6q
P+6q
P-4q
P-nq
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Question # 4
The nth term of an A.P., is 12-4n. Its common difference is
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8
4
4
16
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Question # 5
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2
-3/2
1
0
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Question # 6
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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Question # 7
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 # 8
If b
1
, b
2
, b
3
, ... are in G.P. with first term unity and common ratio r, then the minimum value of b
1
- b
3
+ b
5
is equal to
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3/4
1/4
1
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
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 11
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 # 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 26th term of the A.P -2,-4,10,.............is
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136
-136
148
-148
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Question # 14
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Question # 15
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 16
How many numbers are there between 103 and 750 which are divisible by 6
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125
107
108
113
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Question # 17
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 # 18
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 # 19
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Question # 20
If a, b, c are in A.P., then 3
a
, 3
b
, 3
c
are in
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A.P.
G.P.
H.P.
None of these
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Question # 21
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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Question # 22
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 # 23
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0
1
2
3
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Question # 24
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 # 25
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 # 26
Find the geometric mean between 4 and 16
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Question # 27
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
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8
4
-4
8
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Question # 28
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 # 29
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 # 30
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
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H.P.
A.P.
G.P.
None of these
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Question # 31
The harmonic mean between a and b is
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