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If the first term of an A.P. is a, the s...

If the first term of an A.P. is a, the second term of b and the last term c, then show that the sum of the terms of the A.P. is `((a+c)(b+c-2a))/(2(b-a)`

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TARGET PUBLICATION-ARITHMETIC PROGRESSION -PRACTICE SET 3.5
  1. For an given A.P., t7 = 4, d = -4 then a =

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  2. For an given A.P., a = 3.5, d= 0, n = 101 then tn = …. .

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  3. In an A.P., first two terms are -3,4 then 21^(st) term is ……..

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  4. If for an A.P.,d=5, then t(18)-t(13)=….

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  5. Sum of first five multiples of 3 is ………

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  6. 15,10,5,……. In this A.P. the sum of first 10 terms is ………

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  7. In an A.P., 1^(st) terms is 1 and the last term is 20. The sum of all ...

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  8. Find the fourth term from the end in an A.P. -11, -8,-5,…49

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  9. In an A.P. the 10th term is 46. The sun of the 5th and 7th terms is 52...

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  10. The A.P. in which 4^(th)term -15 and 9^(th) term is -30. Find the sum ...

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  11. Two A.P's are given 9,7,5..and 24,21,18,….If n^(th)term of both the pr...

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  12. If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7...

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  13. In an A.P. the first term is -5 and last term is 45. If sum of all num...

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  14. Sum of 1 to n natural numbers is 36, then find the value of n.

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  15. Divide 207 in three parts , such that all parts are in A. P. and produ...

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  16. There are 37 terms in an A.P., the sum of three terms placed exctly at...

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  17. If the first term of an A.P. is a, the second term of b and the last t...

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  18. The sum of first P terms of an A.P. is equal to the sum of its first Q...

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  19. If m times the mth term of an A.P. is equal to n times its nth term , ...

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  20. Rs. 1000 is deposited at 10 per cent simple interest. Check if the int...

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