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Q 7 Arithmetic and Geometric Sequences

Total questions: 36

Worksheet time: 36mins

Name
Class
Date
1.

The 7th term of the Geometric Progression 2, 6, 18, ... is

a)

5832

b)

2919

c)

1458

d)

729

2.

If a, G, b are in Geometric Progression then ‘G’ is said to be

a)

arithmetic mean

b)

geometric mean

c)

standard deviation

d)

none of above

3.

If the sequence does not has a last term, then it is said to be

a)

finite sequence

b)

arithmetic sequence

c)

infinite sequence

d)

none of above

4.

The Geometric Progression between −4 and −9 is

a)

±8

b)

−8

c)

±6

d)

−6

5.

The arithmetic mean between a and 10 is 30, the value of ‘a’ should be

a)

45

b)

60

c)

50

d)

53

6.

Geometric mean is calculated by

a)

± √ab

b)

± ab

c)

(a + b)²

d)

a - b ⁄ 2

7.

Three arithmetic means between 11 and 19 are

a)

12, 14, 15

b)

13, 15, 17

c)

13, 14, 15

d)

14, 15, 17

8.

If a = 4, an = 110, d = 2, then the value of n should be

a)

51

b)

52

c)

53

d)

54

9.

The arithmetic mean between √5 and 3√5 is

a)

2√5

b)

4√5

c)

√5

d)

5

10.

If r = 10, an = 100, a = 1 then ‘n’ should be equal to

a)

2

b)

1

c)

4

d)

3

11.

The arithmetic mean between −4 and 12 is

a)

5

b)

- 4

c)

4

d)

3

12.

To represent a sequence, a special notation is used called

a)

an

b)

am

c)

an

d)

a ⁄ n

13.

The arithmetic mean between x -1 and x + 7 is

a)

x + 4

b)

x - 3

c)

x + 3

d)

x - 4

14.

The three Geometric means between 2 and 32 are

a)

6, 10, 14

b)

10, 12, 14

c)

6, 8, 10

d)

4, 8, 16

15.

In arithmetic sequence, the terms are denoted by

a)

an

b)

am

c)

an

d)

a ⁄ n

16.

The 24th term in the Arithmetic Progression 3, 5, 7, .... is

a)

47

b)

48

c)

49

d)

52

17.

Next term of 9, 12, 16, 21 is

a)

24

b)

34

c)

27

d)

30

18.

An arrangement of numbers written in definite as per some specific rules is called

a)

subset

b)

sequence

c)

combination

d)

permutation

19.

The Geometric Progression between 5 and 9 is

a)

15

b)

±3 √5

c)

√5

d)

7

20.

In arithmetic sequence, the common difference is denoted by

a)

D

b)

d

c)

r

d)

n

21.

If a, A, b are in Arithmetic Progression then ‘A’ is said to be

a)

arithmetic mean

b)

geometric mean

c)

standard deviation

d)

none of above

22.

A sequence is also called

a)

combination

b)

permutation

c)

progression

d)

logarithm

23.

The 8th term in the Arithmetic Progression −4, −7, −10, .... is

a)

25

b)

-25

c)

27

d)

-27

24.

In arithmetic sequence, the numbers are called

a)

terms

b)

rate

c)

coefficient

d)

sigma

25.

If 2 and 4 are two arithmetic means between a and b, then the value of a and b are

a)

0 and −6

b)

−1 and 5

c)

1 and 3

d)

0 and 6

26.

A sequence of numbers, each of which after the 1st is obtained from the preceding one by adding to it a fixed number is known as

a)

geometric sequence

b)

finite sequence

c)

infinite sequence

d)

arithmetic sequence

27.

Which term of an Arithmetic Progression 6, 4, 2, 0, −2, .... is -120?

a)

60

b)

62

c)

64

d)

61

28.

The general term of Geometric Progression is

a)

an = arn-1

b)

an = arn-1

c)

an = arn

d)

an = arn+1

29.

In any case, the common ratio in Geometric Progression cannot be

a)

2

b)

1

c)

3

d)

0

30.

If the sequence has a last term, then it is said to be

a)

infinite sequence

b)

finite sequence

c)

arithmetic sequence

d)

none of above

31.

If ‘a’ is the first term of an Arithmetic Progression, then the 3rd term will be

a)

b)

a + 2d

c)

a + 3d

d)

a + 3r

32.

If a = 8, an = 206, n = 23, then the value of ‘d’ should be

a)

9

b)

10

c)

8

d)

7

33.

Arithmetic mean is calculated by

a)

(a + b)²

b)

(a + b) ⁄ 2

c)

a × 2b

d)

a - b ⁄ 2

34.

In geometric sequence, the common ratio is denoted by

a)

d

b)

b

c)

r

d)

R

35.

The 6th term of the Geometric Progression 2, 8, 16, ... is

a)

1024

b)

2048

c)

8192

d)

4096

36.

A sequence of numbers, each of which after the 1st is obtained by multiplying the preceding by a fixed number is known as

a)

geometric sequence

b)

finite sequence

c)

infinite sequence

d)

arithmetic sequence