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By inserting eight A.M.’s between 2 an...

By inserting eight A.M.’s between 2 and 29 prove that the sum of the eight A.M's is equal to eight times of A.M. of 2 and 29.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. Find the sum of the following series up to the specified term 2+5+...

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  2. Find the sum of the following series up to the specified term 1-3-...

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  3. By inserting eight A.M.’s between 2 and 29 prove that the sum of t...

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  4. Show that the sum of 500 A.M.’s between 2 and 3 is 1250.

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  5. Prove that the ratio of the sum of m A.M.’s between any two n...

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

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  7. Find the rth term of an A.P., the sum of whose first n terms is 2n+3n^...

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  8. The first term and common difference of an A.P. are 3 and 2 respective...

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  9. The fifth and ninth terms of an A.P. are respectively -15 an...

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  10. The first term and common difference of an A.P. are respectively 4 and...

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

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

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

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

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

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

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

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

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

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

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