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Let f (n) = sum (r =2)^(n) (r )/(""^® C(...

Let `f (n) = sum _(r =2)^(n) (r )/(""^® C_(2) ""^(r+1) C_(2)) , a = lim _(x to oo) f (n) and x ^(2) -(2n -(1)/(2)) x +t =0` has two positive roots `alpha and beta.`
If value of `f (7) + f(8) is p /q` where p and q are relatively prime, then `(p-q)` is :

A

53

B

55

C

57

D

59

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The correct Answer is:
D
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VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (COMPREHENSION TYPE PROBLEMS)
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  2. The first four terms of a sequence are given by T(1)=0, T(2)=1, T(3) =...

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  3. There are two sets A and B each of which consists of three numbers in ...

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  4. There are two sets A and B each of which consists of three numbers in ...

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  5. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

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  6. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

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  7. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

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  8. Two consecutive number from n natural numbers 1,2,3,……, n are removed....

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  9. Two consecutive number from n natural numbers 1,2,3,……, n are removed....

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  10. Two consecutive number from n natural numbers 1,2,3,……, n are removed....

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  11. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

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  12. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

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  13. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

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  14. Let f (n) = sum (r =2)^(n) (r )/(""^® C(2) ""^(r+1) C(2)) , a = lim (x...

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  15. Let f (n) = sum (r =2)^(n) (r )/(""^® C(2) ""^(r+1) C(2)) , a = lim (x...

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  16. Given that sequence of number a (1), a (2) , a(3),……, a (1005) which s...

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  17. Given that sequence of number a (1), a (2) , a(3),……, a (1005) which s...

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