Q. 1. Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP:; Q. 2. Chose the correct choice in the following and justify: (i) 30th term of the AP: 10, 7, 4,,,,,,,,,,, is (a) 97 (b) 77 (c) –77 (d) – 87, (ii) 11th term of the AP: – 3, (-1)/2 , 2,,,,,,, is (a) 28 (b) 22 (c) –38 (d) – 48(1/2); Q. 3. In the following APs, find the missing terms in the boxes: (i) 2, __ , 26, (ii) __, 13, __, 3, (iii) 5,__ , __, 9(1/2), (iv) (–4), __ , __ , __ , __ , 6, (v) __ , 38, __ , __ , __, (–22); Q.4. Which term of the AP: 3, 8. 13, 18,…….., is 78?; Q. 5. Find the number of terms in each of the following APs: (i) 7, 13, 19,………, 205, (ii) 18, 15(1/2), 13,………,( –47); Q. 6. Check whether –150 is a term of the AP: 11, 8, 5, 2,…….; Q. 7. Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.; Q. 8. An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.; Q. 9. If the 3rd and 9th terms of an AP are 4 and (–8) respectively. Which term of this AP is zero?; Q. 10. The 17th term of an AP exceeds its 10th term by 7. Find the common difference.; Q. 11. Which term of the AP: 3, 15, 27, 39,….. will be 132 more than its 54th term?; Q. 12. Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?; Q. 13. How many three-digit numbers are divisible by 7?; Q. 14. How many multiples of 4 lie between 10 and 250.; Q. 15. For what value of n, are the nth terms of two APs: 63, 65, 67,…… and 3, 10, 17,…….. equal?; Q. 16. Determine the AP whose 3rd term is 16 and the 7th term exceeds the 5th term by 12.; Q. 17. Find the 20th term from the last term of the AP: 3, 8, 13,…..253.; Q. 18. The sum of 4th and 8th terms of an AP is 24 and the sum of 6th and 10th terms is 44. Find the first three terms of the AP.; Q. 19. Subba Rao started work in 1995 at an annual salary 5000 rupees and received an increment of 200 rupees each year. In which year did his income reach 7000 rupees?; Q. 20. Ramkali saved 5 rupees in the 1st week of a year then increased her weekly saving by 1.75 rupees. If in the nth week, her weekly savings become 20.75 rupees, find n.
