MATHS AXIS for NCERT Solutions

WORKSHEETS GRADE 10

5. ARITHMETIC PROGRESSION

1. How many multiples of 4 lie between 10 and 250?

(a) 66                 (b) 65                 (c) 60                 (d) 64

2. Find the sum of the following A.P 1 + 3 + 5 + ..... + 199.

(a) 10000 (b) 10500 (c) 11000 (d) 10800

3. If the common difference of an AP is 5, then what is a₁₈−a₁₃?

(a) 40 (b) 25 (c) 5 (d) 10

4. The sum of the first six terms of an AP is zero and the fourth term is 2. Find the sum 

    of its first 30 terms.

(a) 1210 (b) 1300 (c) 1140 (d) 1215

5. Which term of the AP 30, 27, 24……………………………..is zero?

(a) 8^th (b) 10^th (c) 13^th (d) 11^th

6. Find the sum of those integers between 1 and 500 which are multiples of 2 as well as of 5.

7. In AP, if a = 15, d= 3 and a_n = 60, find n and s_{n .}

8. The sum of the first n terms of an AP is 3n² + 6n. Find the nth term of this AP.

9. If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289, find the sum of its first n

    terms.

10. Find the middle term of the A.P. -4, -2, 0, ………………, 88.

11. The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 44. Find          the  first three terms of the A.P.

12. The sum of first n terms of an A.P. is 3n² + 4n. Find the 25 th term of this A.P

13. How many terms of the AP 17,15,13,11,... must be added to get the sum 72?

14. Aman starts a game and scores 200 points in the first attempt and he increases the points by 40       in each attempt. How many points will he score in the 30^th attempt?

15. Find the sum of the first 40 terms of an A.P. whose n^th term is 3-2n.

ANSWERS

1. c         6.12250 11. -13, 8, -3

2. a        7. 16, 600            12. 15

3.b         8.6n+3                  13. 6, 12

4. c         9. n²                      14. 1360

5. d        10.24                    15. -1520