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Equation x^(n)-1=0,ngt1,ninN, has roots ...

Equation `x^(n)-1=0,ngt1,ninN,` has roots `1,a_(1),a_(2),...,a_(n),.` The value of `underset(r=2)overset(n)sum(1)/(2-a_(r)),` is

A

`(2^(n-1)(n-2)+1)/(2^(n)-1)`

B

`(2^(n)(n-2)+1)/(2^(n)-1)`

C

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

D

None of the above

Text Solution

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The correct Answer is:
A
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