Chapter 6: Sequences & Series mcqs with solution
Chapter 6: Sequences & Series
1) The general term
of the sequence 2/1, 3/2, 4/3, …. is an =
A) 
B) 
C) 
D) 
2)
If a, a+d, a+2d, …… is A.P, then
an =
A) a +
nd
B) a –
nd
C) a +
(n – 1)d
D) a +
(n + 1)d
3) 
is arithmetic mean
between a and b if n =
A) –1
B) 1
C) 0
D) 2
4) If A,. G, H are A.M, G.M, and H.M
between two numbers, then
A) A
< G < H
B) A
< G > H
C) A
> G > H
D) A
> G < H
5)
The harmonic mean between two
numbers a and b is
A) 
B) 
C) 
D) 
6)
The arithmetic mean between 4 and
6 is
A) 
B) 
C)
24/5
D) 5
7) If a is the first term and r < 1 is
common ratio of G.P, then Sn =
A) 
B) 
C)
arn
D) 
8) An infinite geometric series is
convergent if
A) 
B) r
> 1
C) r = 1
D) Both
B and C are correct
9) If a is the first term and r is the
common ration of G.P then an =
A) 
B) 
C)
D)
10) is H.M between a and b
if
A) n = 0
B) n = 1
C) n =
-1
D) n = 2
11)
If a is the first term and r is
common ratio such that
r < 1, then Sµ =
A) 
B) 
C)
D)
12)
The harmonic mean between 9 and 11
is
A) 10
B) 
C) 
D) 99/5
13) If A, G, H are arithmetic mean, geometric
and harmonic mean between a and b, then
A) G2
= AH
B) A2
= GH
C) H2
= AG
D) None
of these
14)
-1, 1, -1, 1, …. is
A) Arithmetic
Sequence
B) Geometric
Sequence
C) Alternating
Sequence
D) Harmonic
Sequence
15)
The geometric mean between 8/9, 9/8
is
A) + 1
B) – 1
C) ± 1
D) 
16)
A sequence is a function whose
domain is
A) the
set of rational numbers
B) The
set of irrational numbers
C) The
set of integers
D) The
set of natural numbers
17)
The geometric mean between a and b
is
A)
B)
C)
D)
18)
The arithmetic mean between a and b
is
A)
B)
C)
D)
19)
Which of the following series is
convergent.
A) 2 – 6
+ 18 - ……
B) 8 + 4
+ 2 + …….
C) 5 +
10 + 20 + …….
D) 3/2 +
3 + 6 + ……..
20)
If a = 3, r = 2/3, then sum of
infinite Sµ =
A) 9
B) 
C) 
D) 
21) If 2 + 1 + ½ + ….. is infinite geometric
series then Sµ
A) 2
B) 4
C) ½
D) ¼
22) The population of a town increases
geometrically at the rate of 4% per year. If the present population is 100,000,
then population after 4 years will be
A) 100,000
(1 + .04)3
B) 100,000
(1 + .04)4
C) 100,000
(1 – 0.04)3
D) 100,000
(1 – 0.04)4
23)
The sum of n terms of arithmetic
series Sn =
A) n/2[2a
+ (n – 1)d]
B) arn
– 1
C)
D) a +
(n – 1)d
24)
The two arithmetic means between 5
and 35 are
A) 15,
25
B) 10,
20
C) 10,
15
D) 10,
25
25)
If 2b – 1, 4b + 1, 15b – 3 is a
geometric series,
then b =
A) 4
B) 3
C) 2
D) 1
26)
Which of the following is a
geometric series?
A) 5, 7,
9, 11, …..
B) 3, 5,
7, 9…….
C) 1,
1/3, 3, 9, …..
D) 9, 3,
1, 1/3, ……
27)
The general term of the sequence 3,
6, 9, 12 ….. is
A) n
B) 2n
C) 3n
D) n2
28)
Which of the following is harmonic
sequence?
A) 3, 5,
7 ……
B) ½, ¼,
1/8, …..
C) ½,
1/3, ¼ ……
D) 3, 9,
27 …..
Chapter 6: Sequences
& Series
1) A
2)
C
3) C
4) C
5)
C
6)
D
7) A
8) A
9) A
10) C
11)
A
12)
D
13) A
14)
C
15)
C
16)
D
17)
B
18)
C
19)
B
20)
A
21) B
22) B
23)
A
24)
A
25)
C
26)
D
27)
C
28)
C
Comments
Post a Comment