Free Printable Arithmetic Series

1.

A list of numbers -10, -6, -2, 2 is _________

a)

an A.P with d = -16

b)

an A.P with d = 4

c)

an A.P with d = -4

d)

Not an A.P

2.

What is the first positive term of the sequence: -9, -5, -1, .......

a)

5

b)

4

c)

3

d)

1

3.

2019^th term of an AP is written as

a)

a + 2018d

b)

a + (2019 + 1) d

c)

2018 d

d)

2a + 2018 d

4.

The next term of an AP $\sqrt{7}$ , $\sqrt{28}$ , $\sqrt{63}$ ,......is

a)

$\sqrt{70}$

b)

$\sqrt{84}$

c)

$\sqrt{98}$

d)

$\sqrt{112}$

5.

The 5^th term of an AP is -3 and its common difference is -4. The sum of its first 10 terms is_________

a)

50

b)

-50

c)

30

d)

-30

6.

The common difference of the AP $\frac{1}{p}$ , $\frac{1-p}{p}$ , $\frac{1-2p}{p}$ ........is

a)

p

b)

-p

c)

-1

d)

1

7.

The sum of first 20 odd natural numbers is

a)

100

b)

210

c)

400

d)

420

8.

The sum of first 'n' terms of an AP is (3n²+ 6n). The common difference of the AP is ______

a)

6

b)

9

c)

15

d)

-3

9.

What is the formula for the $n^{th}$ term of the AP $\frac{2}{3},\ 1,\ \frac{4}{3},\ ...$

a)

$T_n=\frac{1}{3}\left(n-1\right)$

b)

$T_n=\frac{1}{3}\left(n+1\right)$

c)

$T_n=\frac{2}{3}\left(n+1\right)$

d)

$T_n=\frac{2}{3}\left(n-1\right)$

10.

If 7 times the 7^th term of an AP is equal to 11 times its 11^th term, then its 18^th term will be

a)

7

b)

11

c)

18

d)

0

11.

Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S₁₀

a)

-160

b)

-328

c)

-320

d)

-336

12.

Evaluate the arithmetic series described:
11 + 18 + 25 + 32..., S₇

a)

225

b)

450

c)

384

d)

224

13.

Evaluate the arithmetic series described:
28 + 38 + 48 + 58..., S₇

a)

1644

b)

812

c)

406

d)

3290

14.

Evaluate the arithmetic series described:
14 + 23 + 32 + 41..., S₁₁

a)

1296

b)

1298

c)

2604

d)

649

15.

Find the sum of the 1st 20 terms: 2+5+8+......

a)

1220

b)

610

c)

600

d)

612

16.

Find the sum of the 1st 100 terms: 100+98+96+......

a)

100

b)

1000

c)

50

d)

-98

17.

Find the sum: 11 + 15 + 19 + .......+ 83

a)

19

b)

83

c)

893

d)

624

18.

Find the sum: 50 + 48 + 46 + ..... + 10

a)

630

b)

21

c)

210

d)

1260

19.

Find S_n for the given series:
a₁=22
d=-8
n=21

a)

1911

b)

-1449

c)

-2436

d)

-1218

20.

Find S₁₄
7, 2, -3, ...

a)

-812

b)

119

c)

-945

d)

-357

21.

Find the sum of first 20 even numbers.

a)

400

b)

410

c)

420

d)

430

22.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

23.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

24.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

25.

The next two terms of the sequence 4,7,10,13 are ....

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

26.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

27.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

28.

The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.

a)

550

b)

638

c)

610

d)

288

Arithmetic Series

Total questions: 28

Worksheet time: 56mins

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