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You are here: Home / ACT Practice Questions / ACT Practice Question: Complex Numbers and Summation

ACT Practice Question: Complex Numbers and Summation

February 26, 2015 Leave a Comment

 
Here is a practice question on parabolas in the coordinate plane.

What does $i – i^2 + i^3 – i^4 + \cdots + i^{97} – i^{98}$ equal, where the imaginary number $i$ is defined as $i^2=-1$ ?

  1. $\quad -i-1$
  2. $\quad -i+1$
  3. $\quad 0$
  4. $\quad i-1$
  5. $\quad i+1$

Choice E

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