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If the m^th terms of an AP is 1/n and th...

If the `m^th` terms of an AP is `1/n` and the `n^th` term is `1/m`, prove that the sum of the first `mn` terms is `1/2(mn+1)`

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MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. Find the sum to n terms of the sequence 7,77,777,7777,…….

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  2. Consider the AP 4,10,16,22,…… Find its common difference and the 7^th ...

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  3. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

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  4. The 6^th term of the sequence whose n^th term is tn=(2n-3)/6 is ………………...

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  5. Find the sum to infinity of the sequence 1,1/3,1/9,………

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  6. If a, b, c are in AP and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, z ar...

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  7. In an AP, the first term is 2 and the sum of the first five terms is ...

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  8. In an AP, the first term is 2 and the sum of the first five terms is ...

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  9. If AM and GM of two numbers are 10 and 8 respectively, find the number...

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  10. In an AP if m^th term is 'n' and n^th term is 'm', find the (m+n)^th t...

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  11. If 3^rd, 8^th and 13^th th terms of a GP are x,y,z respectively, prove...

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  12. Prove that 3^rd, 8^th and 13^th th terms of a GP are x,y,z satisfies t...

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  13. Which of the following is the nth term of an AP?

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  14. Find the 10^th term of the sequence -6,-11/2,-5,…………...

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  15. The sum of the first three terms of a GP is (39)/(10) and their produc...

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  16. Find the 10^th term of an AP whose nth term is (2n-3)/6.

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  17. Find the sum of the first 10 terms of the AP which is (2n-3)/6.

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  18. Find the sum of the first 10 terms of a GP, whose 3^rdterm is 12 and 8...

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  19. Find the 5^th term of the sequence whose n^th terman=(n^2-5)/4

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  20. Find the sum of n terms of the series 7+77+777+..........

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