SAT Math Practice Question #22021 - SATify | SATify

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SAT Math Practice Question #22021 - SATify | SATify

#22021

complex numbers

algebra

sequences and series

Recurrence Relations

hard

120 sec

Let $f (n) = (\frac{- 1 + i 3}{2})^{n} + (\frac{- 1 - i 3}{2})^{n}$ , where $i = - 1$ . What is $f (2023)$ ?

A.

$- 2$

B.

$- 1$

C.

$0$

D.

$1$

E.

$2$