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In an A.P. if the ratio of the s...

In an A.P. if the ratio of the sum upto 10th term and the 10th term is 140 : 23, and the common difference is 2, then determine the first term.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. If the sum upto 21st term of an A.P. is 630, determine the 11th ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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