Friday, 27 September 2024

Worksheet of A.P

 

1. The common difference of the AP 1/p, (1 -p) /p ,(1 - 2p)/p is..

 (a) p.        (b) -p.       (c) -1        (d) 1

2. If the nth term of an AP is (2n + 1) then the sum of its first three terms 

     is.. 

 (a) 6n + 3. (b) 15. (c) 12. (d) 21


3. The sum of first n terms of an AP is (3n² + 6n) The common difference of the AP is.. 

 (a) 6. (b) 9. (c) 15. (d)-3


4. The sum of first n terms of an AP is (5n-n²). The nth term of the AP is..

 (a) (5 - 2n) (b) (6 - 2n) (c) (2n - 5) (d) (2n - 6)


5. The sum of first n terms of an AP is (4n² + 2n) . The nth term of this AP.is..               

 (a) (6n - 2) (b) (7n - 3) (c) (8n - 2) (d) (8n + 2)


6. The 7th term of an AP is -1 and its 16th term is 17. The nth term of the  AP is.. 

(a) (3n + 8) (b) (4n - 7) (c) (15 - 2n) (d) (2n - 15)


7. The 5th term of an AP is -3 and its common difference is. - 4. The sum of its first 10 terms is… 

 (a) 50 (b) -50. (c) 30. (d) -30


8. The 5th term of an AP is 20 and the sum of its 7th and 11th terms is  64 The common difference of the AP is.. 

(a) 4. (b) 5. (c) 3 (d) 2


9. The 13th term of an AP' is 4 times its 3rd term. It its 5th term is 16 then the sum of its first ten terms is .

(a) 150 (b) 175 (c) 160 (d) 135


10. An AP 5, 12, 19….., has 50 terms. Its last term is..(

a) 343. (b) 353. (c) 348 (d) 362


11. The sum of first 20 odd natural numbers is…..

  (a)100. (b) 210. (c) 400. (d) 420


12. The sum of first 40 positive integers divisible by 6 is…

 (a) 2460. (b) 3640. (c) 4920. (d) 4860


13. How many two-digit numbers are divisible by 3? 

(a) 25. (b) 30. (c) 32. (d) 36

14. How many three-digit numbers are divisible by 97

(a) 86. (b) 90. (c) 9% (d) 100


15. If a, denotes the nth term of the AP 3,8, 13, 18, then what is the value

(b) 36. (c) 50. (d) 56

16. Which term of the AP 72, 63,54, is 0?

          (b) 9th. (c) 10th. (d) 11th

17: Which term of the AP 25, 20, 15, is the first negative term?

      (a) 10th. (b) 9th. (c) 8th. (d) 7th

18. Which term of the AP 21, 42, 63, 84, is 210?

      (a) 9th. (b) 10th. (c) 11th. (d) 12th


19. What is 20th term from the end of the AP 3, 8, 13………..,2537

    (a) 163. (b) 158. (c) 153. (d) 148

20. The sum of first 16 terms of the AP 10, 6, 2... is

(a) 320. (b)-320. (C)-352. (d)-400

21. How many terms of the AP 3,7, 11, 15, will make the sum 4067

    (a) 10. (b) 12. (c) 14. (d) 20


22. The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th term?

       (a) 69. (b) 73. (c) 77. (d) 81

23. The 17th term of an Al exceeds its 10th term by 21. The common

       difference of the AP is

    (a) 3. (b) 2. (c)-3. (d)-2



24. Which term of the AP :4,9,14,19, ....... is 109?

       (A) 14th. (B) 18th. (C) 22nd. (D) 16th

25. The sum of the arithmetic series 51 + 52 + 53 +.......+100 is:

      (A) 3775. (B) 4025. (C) 4275. (D) 5050






Worksheet of A.P

  1. The common difference of the AP 1/p, (1 -p) /p ,(1 - 2p)/p is..  (a) p.        (b) -p.       (c) -1        (d) 1 2. If the nth term of...