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The sum of first nine terms of an A.P. i...

The sum of first nine terms of an A.P. is 171 and that of 24 terms is 996. Find the sum of first 16 terms.

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If the sum of first nine terms of an A.P is 171 and that of first 24 terms is 996,find the sum of first 41 terms.

The sum of first n terms of an A.P. is m and that of first m terms is n. Prove that the sum of first m + n terms is -(m + n) .

If the sum of 7 terms of an AP is 49 and that of 17 terms is 289,find the sum of n terms.

The sum of first ten terms of an A.P. is 120. The sum of next ten terms is 320. Find the first term and common difference.

The sum of first P terms of an A.P. is equal to that of the first Q terms. Prove that the sum of first (P+Q) terms is zero.

Find the sum of first 22 terms of an AP in which d=7 and 22nd terms is 149.

The sum of the third and the seventh terms of an AP is 6 and their product is 8.Find the sum of first sixteen terms of the AP.

The sum of fIrst n terms of an A.P series is 26n-2n^2 . Find the fifth term.

The fifth and ninth terms of an A.P. are respectively -15 and -13. Find the sum of first ten terms.

The first term of an A.P. is a. If sum of first p terms is zero, prove that the sum of first (p + q) terms is [a(p+q)q]/(1-p) .

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The sum of first ten terms of an A.P. is 120. The sum of next ten term...

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  2. In an A.P. the ratio of 7th term to 11th term is 19 : 31 and the sum ...

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  3. The sum of first nine terms of an A.P. is 171 and that of 24 terms is ...

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  4. In an A.P. the nth term is p and the sum of first n terms is q. Show t...

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  5. If {S1,S2,S3} denoted the sum of n terms of three series in A.P. the f...

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  6. The sum of first n terms of an A.P. is m and that of first m terms is...

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  7. The ratio of sum of the first n terms of two series in A.P is (3n + 8)...

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  8. In an A.P. the pth and qth terms are respectively a and b. Show that t...

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  9. If the first terms, second term and the last term of an A.P. are respe...

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  10. The sum of first n terms of an A.P. is Sn.If Sn=n^2p and Sm=m^2p(mn...

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  11. The first term of an A.P. is a. If sum of first p terms is zero, pro...

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  12. The sum of first P terms of an A.P. is equal to that of the first Q te...

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  13. Find the sum of all odd numbers lying between 12 and 90.

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  14. Determine the sum of the numbers lying between 100 and 500 which are d...

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  15. Find the sum of all numbers lying between 1 and 100 which are divisibl...

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  16. Determine the sum of the numbers lying between 100 and 200 which are n...

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  17. Determine the sum of following series upto n terms. 1.2+2.3+3.4+…….

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  18. Determine the sum of following series upto n terms. 1.1+2.3+3.5+…….

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  19. Determine the sum of following series upto n terms. 2.1+3.3+4.5+…….

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  20. Determine the sum of following series upto n terms. 3.8+6.11+9.14+……...

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