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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)w h e r e)m!=ndot`

A

`mn+1`

B

`(mn+1)/2`

C

`(mn-1)/2`

D

`(mn-1)/3`

Text Solution

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MTG IIT JEE FOUNDATION-ARITHMETIC PROGRESSIONS -EXERCISE (MULTIPLE CHOICE QUESTION )(LEVEL 1 )
  1. The first ,second and last terms of an A.P. are repectively 4,7 and 31...

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

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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. The sum of first n odd natural numbers is

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  5. If 3x , x+14, 3x+4 are in A.P. ., then the value of x is

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  6. Find the sum of first 30 terms of an A.P. whose second term is 2 and ...

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  7. The digits of a positive integer, having three digits, are in A.P. and...

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  8. If four numbers in A.P. are such that their sum is 50 and the great...

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  9. If the first, second and last term of an A.P. are a ,\ b and 2a res...

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  10. Which term of the AP: 3, 15, 27, 39, . . . will be 132 more than its 5...

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  11. Sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+\ dd...

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  12. In an A.P., if common difference d = 3, then a(5)-a(7) is equal to

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  13. The value of a(30)-a(20) for the A.P. -3,-1,1,"…." is

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  14. The 4^(th) term of an A.P. is 14 and its 12^(th) term is 70 . What are...

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  15. If 3, 4+p^(2),6 - p are in A.P. then p must be equal to

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  16. The first and last terms of an A.P. are 1 and 11. If the sum of its...

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  17. The sum (-6)+(0)+(6) +"…. Upto "13^(th) term =

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  18. If the second and seventh terms of an A.P. are 2 and 22 respectively. ...

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  19. A thief runs with a uniform speed of 100 m/min. After one minute a pol...

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  20. 25 trees are planted in a straight line 5 metre apart from each other....

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