## Important questions of Maths class 10 chapter 5

CLASS- X

CH- 5 ARITHMETIC PROGRESSIONS

Session 2022-23

1. If p – 1, p + 3, 3p – 1 are in AP, then find p.

2. Find the 10th term of 10.0, 10.5, 11.0, 11.5, …….

3. Find the common difference of an AP in which a21 – a7 = 84.

4. Find the 10th term of the A.P : 2,7,12………

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

6. Determine A.P whose 3rd term is 5 and the 7th term is 9.

7. If k, 2k – 1 and 2k+ 1 are three consecutive terms of an A.P. what is the value of k ?

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

9. Find the 11th term of the A.P from the last term of the A.P: 10, 7,4 ….……-62

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

11. If the common difference of an A.P. is 3, then what is the value of 𝑎20 – 𝑎15

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

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

24, 21, 18…………………..

14. Find the sum of first 24 terms of the list of the numbers, whose n𝑡ℎ term is given by 𝑎𝑛=3+2n

15. 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.

16. 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?

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

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

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

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

21. 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.

22. If the mth term of an A.P. is nth term is 1/m , show that the sum of mn terms is

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

24. Find the sum of two middle most terms of the AP

25. 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.

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Important questions of Maths class 10 chapter 5

Important questions of Maths class 10 chapter 5