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Arithmetic Progression Worksheet 3
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1. The number of two digit numbers divisible by 3 is
Your answer
2. The number of two digit numbers divisible by 5 is
Your answer
3. The last term of an A.P whose first term is 5 and common difference is 5 is
Your answer
4. The number of terms of the A.P 54, 51, 48, ... so that their sum is 513 is
Your answer
5. The value of K for which 2k-1, 7, 11 are in A.P is
Your answer
6. The 6th term from the end of A.P 17, 14, 11, ....-40 is
Your answer
7. The first negative term of the A.P 114, 109, 104, ... is
Your answer
8. If the sum of first n terms of an A.P is 50, the nth term is 15 and the first term is 5 then the number of terms is
Your answer
9. The sum of even positive integers from 2 to 200 is
Your answer
10. Is 301 a term of the sequence 3, 8, 13, ...?
Your answer
11. The sum of first 100 natural numbers is
Your answer
12. The value of K so that k-3, 2k+1 and 4k+3 are in A.P is
Your answer
13. Which term of the sequence 56, 53, 50, 47.... is -16?
Your answer
14. The arithmetic mean between 3 and 23 is
Your answer
15. The nth term of the sequence 21, 25, 29,... is
Your answer
16. The value of expression 1-6+2-7+3-8.....upto 100 terms is
-225
-250
-300
-350
Clear selection
17. In an A.P, 5 times the 5th term is equal to 7 times the 7th term, then its 12th term is equal to
5
7
12
0
Clear selection
18. The sum of n terms of an A.P 1 + 2+ 3 ... upto n terms is
n ( n+ 2)/2
n(n+1)/2
n(n-1)/2
n(n+1)
Clear selection
19. If p-1, p+3, 3p-1 are in A.P, then p is equal to
4
-4
2
-2
Clear selection
20. The 15th term of the sequence x-7, x-2, x+3,.... is
x+73
x+63
x+83
x+53
Clear selection
21. A number 15 is divided into three parts which are in A.P and the sum of their squares is 83. The smallest part is
3
2
6
5
Clear selection
22. 9th term of an A.P is 499 and 499th term is 9. The term which is equal to zero is
507th
508th
509th
510th
Clear selection
23.The sum of the first ten terms of an A.P is four times the sum of the first five terms, then the ratio of the first term to the common difference is
1/2
2
1/4
4
Clear selection
24. The second term of an A.P is (x-y) and 5th term is (x+y) then the first term is
x- y/3
x-2y/3
x-4y/3
x-5y/3
Clear selection
25. The sum of the first 2n terms of the A.P 2, 5, 8,.... is equal to the sum of the first n terms of the A.P. 57, 59, 61,..... then n equals
10
11
12
13
Clear selection
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