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If the m^(t h) term of an A.P. is 1/n a ...

If the `m^(t h)` term of an A.P. is `1/n a n d\ t h e\ n^(t h)t e r m\ i s1/m ,\ ` show that the sumof `m n` terms is `1/2(m n+1)` where `m!=ndot`

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If the sum of n terms of an A.P. is 3n^2+5n and its mth term is 164, f...

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  2. Find the sum of n terms of the sequence (an),w h e r e an=5-6n ,n in ...

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  3. If the m^(t h) term of an A.P. is 1/n a n d\ t h e\ n^(t h)t e r m\ i ...

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  4. How many terms of the series 54,51, 48,.. be taken so that their sum i...

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  5. solve: 1 + 6 + 11 + 16 +.........+ x = 148

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  6. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

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  7. If the sum of first m terms of an A.P. is the same as the sum of its f...

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  8. The ratio of the sum of m and n terms of an A.P. is m^2: n^2dot Show t...

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  9. The interior angles of a polygon are in A.P. the smallest angle is 120...

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  10. Prove that a sequence in an A.P., if the sum of its n terms is of the...

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  11. If the first term of an A.P. is 2 and the sum of first five terms is ...

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  12. The sum of n terms of two arithmetic progressions are in the ratio (3n...

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  13. Let Sk be the sum of first k terms of an A.P. What must this progressi...

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  14. Find the sum of the following arithmetic progression: 50,46,42,… upto ...

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  15. Find the sum of the following series : (i) 1,3,5,7...upto 12 terms.

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  16. Find the sum of the following arithmetic progression: 3,9/2,6,15/2,…...

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  17. Find the sum of the following arithmetic progression: 41,36,31,…….to 1...

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  18. Find the sum of the following arithmetic progression: a+b ,\ a-b ,\...

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  19. Find the sum of the following arithmetic progression: (x-y)/(x+y),(3x-...

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  20. Find the sum of the following series: 2+5+8+. . . .+182

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