If 1 , \\omega .... , \\omega ^ { n - 1 } are nth roots of unity , then value of { 1 }/ { 2 - \\omega } + { 1 }/ { 2 - \\omega ^ { 2 } } + ...+ { 1 }/ { 2 - \\omega ^ { n - 1 } } equals to

Correct Answer is : n2n−1−2n+12n−1

{ n ( 2 ^ { n } - 1 ) }/ { 2 ^ { n } + 1 }

{ ( n - 2 ) 2 ^ { n - 1 } } /{ 2 ^ { n } - 1 }

{ n 2 ^ { n - 1 } - 2 ^ { n } + 1 } /{ 2 ^ { n } - 1 }

AP and TS EAMCET Engineering Model Paper 12

Question : 60 of 160

Marks: +1, -0

If 1,ω....,ωn−1 are nth roots of unity , then value of

2−ω

2−ω2

+...+

2−ωn−1

equals to

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