## Important Questions for Class 10 Maths Arithmetic progressions

1. Find the common difference of an AP in which a_{21} – a_{7} = 84.

2. Find the 10^{th} term of the A.P : 2,7,12………

3. Which term of the A.P : 21,18,15………….. is – 18?

4. Determine A.P whose 3^{rd} term is 5 and the 7^{th} term is 9.

5. How many 2 digit numbers are divisible by 3?

6. Find the 11^{th }term of the A.P from the last term of the A.P: 10, 7,4 ….……-62

7. What is the sum of first 20 odd natural numbers?

8. If the sum of first 14 terms of an A.P is 1050 and its first term is 10. Find the 20^{th} term?

9. How many terms of the given A.P must be taken so that their sum is 78?

24, 21, 18…………………..

10. Find the sum of first 24 terms of the list of the numbers, whose n^{𝑡ℎ} term is given by 𝑎_{𝑛}=3+2n

11. The sum of first 7 terms of an A.P is 49 and that of 17 terms is 289. Find the sum of first n terms.

12. The first and the last term of an A.P are 17 and 350 respectively. If common difference is 9 then how many terms are there and what is their sum?

13. The 4^{th} term of an AP is equal to 3 times the first term and the 7^{th} term exceed twice the 3^{rd} term by 1. Find the AP.

14. Find the middle term of the A.P. 6, 13, 20,……216.

15. Find the sum of all 3-digit natural numbers, which are multiples of 7.

16. Find the sum of all multiples of 9 lying between 400 and 800.

17. If the sum of m terms of an A.P. is the same as the sum of its n terms, show that the sum of its (m + n) terms is zero.

18. If the m^{th} term of an A.P. is 1/n and n^{th} term is 1/m , show that the sum of mn terms is 1/2 (mn+1) .

19. Find whether (-150) is a term of the A.P. 17, 12, 7, 2,……?

20. Find the sum of two middle most terms of the AP – 4/3 , -1, -2/3, ……….13/3.

21. Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.

**Direction for following questions: **A statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.

- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.

**22. Assertion: ****Sum of natural number from 1 to 100 is 5050**

** Reason: ****Sum of n natural number is n(n+1)/2**

**23.Assertion:** If S_{n} is the sum of the first n terms of an A.P., then its nth term is given by a_{n} = S_{n} – S_{n – 1}.**Reason:** The 10th term of the A.P. 5, 8, 11, 14, ………………. is 35.

Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 1.2

Ncert Solutions Class 10 Maths Exercise 2.1 https://10thmathsguide.com/exercise-21-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 2.2

Ncert Solutions Class 10 Maths Exercise 3.1 https://10thmathsguide.com/exercise-31-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.2 https://10thmathsguide.com/exercise-32-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.3 https://10thmathsguide.com/exercise-33-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.1 https://10thmathsguide.com/exercise-41-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.2 https://10thmathsguide.com/exercise-42-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.3 https://10thmathsguide.com/exercise-43-class-10-maths/

MCQ VIDEOS ALL CHAPTERS CLASS 10 MATHShttps://www.youtube.com/watch?v=-eBlHyBxjLg&list=PL2uPMjJCHErQZZNipbsnagBqPrCU_WRN8

**MCQ Questions for Class 10 Maths all Chapters****https://sharmatutorial.in/category/mcq-class-10-maths/**

Important Questions for Class 10 Maths Arithmetic progressions

Important Questions for Class 10 Maths Arithmetic progressions

Important Questions for Class 10 Maths Arithmetic progressions

Important Questions for Class 10 Maths Arithmetic progressions

Important Questions for Class 10 Maths Arithmetic progressions