If z is a complex number satisfying z + ...

If z is a complex number satisfying `z + z^-1 = 1` then `z^n + z^-n , n in N`, has the value

A

` 2(-1)^(n)` when n is a multiple of 3

B

`(-1)^(n-1)` , when n is not a multiple of 3

C

`(-1)^(n+1)` ,when n is a mutliple of 3.

D

0 when n is not a multiple of 3.

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The correct Answer is:

A, B

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