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If m^(th) term of an A.P. is 1/n and n^(...

If `m^(th)` term of an A.P. is `1/n and n^(th) term is 1/m`. Find the sum of its first mn terms.

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AGRAWAL PUBLICATION-ARITHMETIC PROGRESSIONS-EXAMPLE
  1. If the sum of the first 6 terms of an AP is 36 and that of the fist 16...

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  2. The sum of the first n terms of an AP whose first term is 8 and the co...

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  3. If m^(th) term of an A.P. is 1/n and n^(th) term is 1/m. Find the sum ...

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  4. Find the sum of n terms of the series (4 -1/n) + (4 - 2/n) + (4- 3/n) ...

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  5. For what value of n are the n^(th) terms of two A.P's 63,65,67, ….. An...

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  6. Find the sum of the first 40 positive integers which give a remainder ...

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  7. Divide 56 in four parts in A.P. such that the ratio of the product of ...

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  8. If the sum of the first 7 terms of an A.P. is 49 and that of its first...

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  9. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  10. How many terms of an A.P. 9,17,25,….m must to be taken to give a sum o...

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  11. Among the natural numbers 1 to 49, find a number x, such that the sum ...

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  12. The 14^(th) term of an AP is twice 8^(th) term. If its 6^(th) term is ...

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  13. The digits of a positive number of three digits are in A.P and their s...

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  14. The digits of a positive number of three digits are in A.P and their s...

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  15. Find the sum of first 24 terms of an A.P. whose n^(th) term is given b...

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  16. Determine the A.P. whose third term is 16 and 7^(th) term exceeds the ...

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  17. The 26^(th), 11^(th) and the last term of an AP are 0,3 and 1/5 respec...

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  18. Find the sum of the following series: 5 +(-41) 9 +(-39) + 13 + (-37) ...

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  19. The sum of four consecutive number in AP is 32 and the ratio of the pr...

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  20. Solve : 1 +4 +7 + 10 +…….+ x=287.

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