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The first term and last term of an A.P. ...

The first term and last term of an A.P. are respectively 1 and 157. If the sum is 3160 find the number of terms.

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The first term and the last term of an A.P. are 2 and 29, respectively. If the sum of the series is 155, find the number of terms and common difference.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The first term and common difference of an A.P. are respectively 4 and...

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  2. The first term and common difference of an A.P. are respectively -2 an...

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  3. The first term and last term of an A.P. are respectively 1 and 157. If...

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  4. The first term and last term of an A.P. are 5 and 123 respectively. ...

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  5. If the sum upto 21st term of an A.P. is 630, determine the 11th ...

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  6. If 18th term of an A.P. is 52, determine the sum upto 35th term.

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  7. In an A.P. if the ratio of the sum upto 10th term and the 10th...

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  8. The seventh term of an A.P. is 20 and the sum of first twenty terms ...

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  9. The sum of first ten terms of an A.P. is 120. The sum of next ten term...

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

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

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

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

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

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

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

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

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

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

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