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If m times the mth term is equal to n ti...

If m times the mth term is equal to n times the nth term of an A.P. prove that(m+n)th term of an A.P. is zero.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If a1, a2, ............, an are in A.P. and ai >0 for all i , prove th...

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  2. If a1, a2,a3,..........., an are in A.P. with common difference d, pro...

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  3. If m times the mth term is equal to n times the nth term of an A.P. pr...

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  4. Find the sum of indicated number of terms of the following A.P.’s : ...

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  5. Find the sum of indicated number of terms of the following A.P.’s : ...

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  6. Find the sum of indicated number of terms of the following A.P.’s : ...

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  7. Find the sum of indicated number of terms of the following A.P.’s : ...

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  8. Find the sum of indicated number of terms of the following A.P.’s : ...

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  9. Out of k, a, n, d and Sn, determine the ones that are missing from the...

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  10. Out of l, a, n, d and Sn, determine the ones that are missing from the...

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  11. How many terms of the sequence 18, 16, 14.... should be taken so that ...

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  12. How many terms of the sequence -12,-9, -6, -3, ..... must be taken to ...

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  13. How many terms of the sequence -6,(-11)/2, -5,.... must be taken to ma...

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  14. Find the sum of the series : 72 + 70 + 68 +....+ 40?

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  15. Find the sum of first n natural numbers.

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  16. Find the sum of first 100 natural numbers.

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  17. Find the sum to n terms of the A.P. whose kth term is 5k + 1.

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  18. If the sum of n terms of an A.P. is (pn+qn^2), where p and g are const...

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  19. If the sum of a certain number of terms of the A.P. 25, 22, 19, .. . i...

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  20. Find the sum of 32 terms of an A.P. whose third term is 1 and the 6th ...

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