Let $z_{1} z_{2} z_{3}$ .... be a sequence of complex numbers defined by z1 = -1 - i and $Z_{n + 1} = Z_{n}^{2} - i$ for all n $\geq 1 w h e ni - 1 .$ Then $∣ Z 1994 ∣$ equals to

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Let

z_{1} z_{2} z_{3}

.... be a sequence of complex numbers defined by z1 = -1 - i and

Z_{n + 1} = Z_{n}^{2} - i

for all n

\geq 1 w h e ni - 1 .

Then

∣ Z 1994 ∣

equals to

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Question Text

Let

z_{1} z_{2} z_{3}

.... be a sequence of complex numbers defined by z1 = -1 - i and

Z_{n + 1} = Z_{n}^{2} - i

for all n

\geq 1 w h e ni - 1 .

Then

∣ Z 1994 ∣

equals to

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