# NCERT Mathematics Class 10 Exemplar Ch 5 Arithmetic Progressions Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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11. Determine k so that are three consecutive terms of an AP.

Answer:

12. Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.

Answer: 67,69, 71

13. The angles of a triangle are in AP. The greatest angle is twice the least. Find all the angles of the triangle.

Answer:

14. If the nth terms of the two and are the same, find the value of n. Also find that term.

Answer: 16^{th} term; β 21

15. If sum of the 3^{rd} and the 8^{th} terms of an AP is 7 and the sum of the 7^{th} and the 14^{th} terms is β 3, find the 10^{th} term.

Answer: β 1

16. Find the 12^{th} term from the end of the AP:

Answer: β 78

17. Which term of the AP: is the first negative term?

Answer: 12^{th} term

18. How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?

Answer: 73

19. Find the sum of the two middle most terms of the AP:

Answer: 3

20. The first term of an AP is β 5 and the last term is 45. If the sum of the terms of the AP is 120, then find the number of terms and the common difference.

Answer: ,

21. Find the sum: (i)

(ii) upto n terms

(iii) to 11 terms.

Answer: (i) (ii) (iii)

22. Which term of the AP: will be ? Find the sum of this AP upto the term .

Answer: 16^{th} term; β 632

23. If , show that form an AP. Also find S_{20} .

Answer:

24. In an AP, if , find the AP.

Answer:

25. In an AP, if and find the value of k.

Answer: