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Find the sum of first n terms of 1+3+7+15+31+….

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Find the sum of first n terms of the series 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2) +.... .

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2015-EXERCISE
  1. Prove that by using the principle of mathematical induction for all n...

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  2. Show that 1 is a root of a(b-c)x^2+b(c-a)x+c(a-b)=0.Hence show that if...

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  3. Find the sum of first n terms of 1+3+7+15+31+….

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  4. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...

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  5. A moving straight line always passes through a fixed point (alpha,beta...

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  6. Find equations of all possible circles that touch the y axis at the po...

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  7. A ray of light along the line x-2y+5=0 is reflected from the line 3x-2...

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  8. Find the co-ordinates of vertices of a unit cube where the three concu...

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  9. Prove that lim(xrarr0)sqrt(1-cosx)/xdoes not exist

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  10. Find f'(0)where f(x)=|x+1|+|x-1|.

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  11. Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether...

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  12. Let a statement p:/\ABCis right angle triangle,and another check wheth...

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  13. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  14. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  15. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  16. Find the standard deviation of the diameters of the circles given in t...

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  17. Find the median of first n-natural numbers.

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  18. Give an example of a relation defined on set of integers which is symm...

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  19. Find the domain and range of the function f(x)=x/(x^2-5x+4)

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  20. If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...

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