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The sequence {a(n)} is defined by formul...

The sequence `{a_(n)}` is defined by formula `a _(0) =4 and a _(m +1)=a _(n)^(2) -2a_(n) + 2 ` for ` n ge 0.` Let the sequence `{ b _(n)}` is defined by formula `b _(0) =1/2 and b _(n) = (2 a_(0) a _(1) a _(2)……a _(n-1))/(AA n ge 1.`
The value of `a _(10)` is equal to :

A

`b _(n+1)=(2b _(n ))/(1- b _(n)^(2))`

B

`b _(n+1)=(2b _(n ))/(1+ b _(n)^(2))`

C

`(b _(n ))/(1+ b _(n)^(2))`

D

`(b _(n ))/(1- b _(n)^(2))`

Text Solution

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The correct Answer is:
B
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VIKAS GUPTA (BLACK BOOK) ENGLISH-SEQUENCE AND SERIES -EXERCISE (COMPREHENSION TYPE PROBLEMS)
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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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