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Given that sequence of number a (1), a (...

Given that sequence of number `a _(1), a _(2) , a_(3),……, a _(1005)` which satisfy `(a_(1))/( a _(1)+ 1) =(a_(2))/(a _(2) +3) = (a _(3))/(a _(3)+5) = …… = (a _(1005))/(a _(1005)+2009)`
`a_1+a_2+a_3.......a_(1005)=2010` find the `21^(st)` term of the sequence is equal to :

A

`(86)/(1065)`

B

`(83)/(1005)`

C

`(82)/(1005)`

D

`(79)/(1005)`

Text Solution

Verified by Experts

The correct Answer is:
C
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VIKAS GUPTA (BLACK BOOK) ENGLISH-SEQUENCE AND SERIES -EXERCISE (COMPREHENSION TYPE PROBLEMS)
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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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  7. 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. 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. Let f (n) = sum (r =2)^(n) (r )/(""^r C(2) ""^(r+1) C(2)) , a = lim (x...

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

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  15. Given the sequence of numbers x1, x2, x3,...x1005. which satisfy x1/(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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