SOLUTION: How many different numbers are there in the set of the first 100 powers of i? Hint don't mulitply all of these out, see if you can find the pattern.

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Question 201568: How many different numbers are there in the set of the first 100 powers of i? Hint don't mulitply all of these out, see if you can find the pattern.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How many different numbers are there in the set of the first 100 powers of i? Hint don't mulitply all of these out, see if you can find the pattern.
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Raising i to powers is cyclic, it goes
i, -1, -i, 1, for powers 1, 2, 3, 4. Then it repeats.
Those 4 are all of the possibilities.