Suppose $z \in \mathbb { C }$ is such that the imaginary part of $z$ is non-zero and $z ^ { 25 } = 1$. Then $$\sum _ { k = 0 } ^ { 2023 } z ^ { k }$$ equals (A) 0. (B) 1. (C) $- 1 - z ^ { 24 }$. (D) $- z ^ { 24 }$.
Suppose $z \in \mathbb { C }$ is such that the imaginary part of $z$ is non-zero and $z ^ { 25 } = 1$. Then
$$\sum _ { k = 0 } ^ { 2023 } z ^ { k }$$
equals\\
(A) 0.\\
(B) 1.\\
(C) $- 1 - z ^ { 24 }$.\\
(D) $- z ^ { 24 }$.