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NCERT Mathematics Class 10 Exemplar Ch 5 Arithmetic Progressions Part 5
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: 16th term; β 21
15. If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7th and the 14th terms is β 3, find the 10th term.
Answer: β 1
16. Find the 12th term from the end of the AP:
Answer: β 78
17. Which term of the AP: is the first negative term?
Answer: 12th 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: 16th term; β 632
23. If , show that form an AP. Also find S20 .
Answer:
24. In an AP, if , find the AP.
Answer:
25. In an AP, if and find the value of k.
Answer: