Class 10 Practice – Level 1 – Arithmetic Progressions

Total questions: 40

Which of the following sequences in a arithmetic progression (AP)?

Topic: Introduction to Arithmetic Progressions

2, 4, 6, 8, 10

1, 4, 9, 16, 25

2, 3, 5, 7, 11

3, 9, 27, 81

None

Find the common difference of the AP 7, 12, 17, 22, 27 .

Topic: Common Difference

None

What is the fifth term of the AP 3, 7, 11, 15, ......?

Topic: nth Term of an AP

None

What is the sum of the first 4 terms of the AP 2, 5, 8, 11,...?

Topic: Sum Of First n Terms

None

If the $ \displaystyle {{n}^{th}}$ term of an AP is given by $ \displaystyle {{a}_{n}}=3n+1$ , what is the $ \displaystyle {{10}^{th}}$ term?

Topic: nth Term of an AP

None

Which of the following is not an AP?

Topic: Sequence Identification

2, 10, 15, 20

1, 3, 5, 7

2, 6, 10, 14

7, 14, 21, 29

None

Find the common difference of an AP : -1, -5, -9, -13,....

Topic: Finding Common Difference

-3

-4

-6

None

The sum of the first 4 term of an AP 2, 5, 8, 11.....?

Topic: Sum Of First n Terms

None

Find the $ \displaystyle {{15}^{th}}$ term of the AP 1, 4, 7,10,....?

Topic: nth Term of an AP

None

10.

If the $ \displaystyle {{7}^{th}}$ term of an AP is 15 and the common difference is 2, What is the first term?

Topic: Common Difference

None

11.

Which term of the AP: 5, 10, 15, 20,..... is 50?

Topic: Sequence Identification

$ \displaystyle {{8}^{th}}$ term

$ \displaystyle {{9}^{th}}$ term

$ \displaystyle {{10}^{th}}$ term

$ \displaystyle {{11}^{th}}$ term

None

12.

What is the sum of the term of the first 6 terms of the AP: 3, 6, 9, 12,...?

Topic: Sum Of First n Terms

None

13.

If the $ \displaystyle {{n}^{th}}$ term of an AP is 50 and the first term is 5, find the value of n if the common difference is 3.

Topic: nth Term of an AP

None

14.

What is the common difference of the AP: 20, 17, 14, 11 ,.....?

Topic: Sequence Identification

-2

-3

None

15.

Find the arithmetic mean between 5 and 15.

Topic: Arithmetic Mean

None

16.

Which of the following represents an arithmetic progression?

Topic: Sequence Identification

7, 10, 13, 16

1, 4, 9, 16

2, 4, 8, 16

5, 10, 15, 21

None

17.

What is the common difference of the AP: 15, 10, 5, 0, -5,....?

Topic: Common Difference

-5

None

18.

Find the $ \displaystyle {{8}^{th}}$ term of the AP: 4, 8, 12, 16,....

Topic: nth Term of an AP

None

19.

Which of the following sequences is not an AP?

Topic: Sequence Identification

2, 5, 8, 11,...

3, 6, 9, 12,...

5, 7, 11, 15,...

4, 8, 12, 16,...

None

20.

What is the sum of the first 10 terms of the AP: 1, 2, 3, 4,...?

Topic: Sum Of First n Terms

None

21.

If the $ \displaystyle {{n}^{th}}$ term of an term of an AP is 22 and the common difference is 4, find the first term.

Topic: nth Term of an AP

None

22.

Find the arithmetic mean between 12 and 20.

Topic: Arithmetic Mean

None

23.

Which of the following sequences is an AP?

Topic: Sequence Identification

2, 4, 8, 16,....

3, 6, 9, 12,....

5, 10, 15, 20,....

1, 3, 5, 7,....

None

24.

What is the $ \displaystyle {{12}^{th}}$ term of the AP: 1, 5, 9, 13,...?

Topic: nth Term of an AP

None

25.

Find the common difference of the AP: 20, 18, 16, 14,.....

Topic: Common Difference

-1

-2

-3

-4

None

26.

If the sum of the first 6 terms of an AP is 72 and the common difference is 4, find the first term.

Topic: Sum Of First n Terms

None

27.

What is the $ \displaystyle {{20}^{th}}$ term of the AP : 2, 7, 12, 17,...?

Topic: nth Term of an AP

102

107

None

28.

Which term of the AP: 10, 20, 30, 40,.... is 100?

Topic: Sequence Identification

$ \displaystyle {{9}^{th}}$ term

$ \displaystyle {{10}^{th}}$ term

$ \displaystyle {{11}^{th}}$ term

$ \displaystyle {{12}^{th}}$ term

None

29.

What is the sum of the first 7 terms of the AP : 1, 3, 5, 7,..?

Topic: Sum Of First n Terms

None

30.

If the $ \displaystyle {{n}^{th}}$ term of an AP is 35 and the common difference is 5, find the value of n if the first term is 10.

Topic: nth Term of an AP

None

31.

What is the common difference of the AP : -10, 7, -4, -1,...?

Topic: Sequence Identification

None

32.

Find the arithmetic mean between 7 and 21.

Topic: Arithmetic Mean

None

33.

What is the sum of the first 5 terms of the AP : 4, 8,12, 16,....?

Topic: Sum Of First n Terms

None

34.

Find the $ \displaystyle {{9}^{th}}$ term of the AP: 3, 6, 9, 12,..?

Topic: nth Term of an AP

None

35.

Which of the following sequences is not an AP?

Topic: Sequence Identification

2, 6, 9, 12,....

5, 10, 15, 20,...

2, 4, 8, 16,...

1, 3, 5, 7,.....

None

36.

What is the sum of the first 4 terms of the AP: 5, 10, 15, 20,...?

Topic: Sum Of First n Terms

None

37.

What is the $ \displaystyle {{11}^{th}}$ term of the AP: 2, 5, 8, 11,..?

Topic: nth Term of an AP

None

38.

Which term of the AP : 4, 12, 16, .... is 40?

Topic: Sequence Identification

$ \displaystyle {{9}^{th}}$ term

$ \displaystyle {{10}^{th}}$ term

$ \displaystyle {{11}^{th}}$ term

$ \displaystyle {{12}^{th}}$ term

None

39.

What is the sum of the first 3 terms of the AP: 7, 14, 21, 28,...?

Topic: Sum Of First n Terms

None

40.

If the $ \displaystyle {{15}^{th}}$ term of an AP is 40 and the common difference is 2, find the first term.

Topic: nth Term of an AP

None

1 out of 40

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Class 10 Practice – Level 1 – Arithmetic Progressions

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