SAT Math Practice Question #25971 - SATify | SATify

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SAT Math Practice Question #25971 - SATify | SATify

#25971

complex numbers

algebra

hard

120 sec

Let $z = i$ . What is $(\sum_{k = 1}^{20} z^{k^{2}}) (\sum_{k = 1}^{20} \frac{1}{z ^{k^{2}}})$ ?

A.

$100$

B.

$150$

C.

$200$

D.

$250$

E.

$300$