SOLUTION: i^17 the only thing I know about this is that all things like this such as i^30 or i ^2 or i^7 all come up to one thing but I'm not sure what it is please help soon!

Question 162617: i^17
the only thing I know about this is that all things like this such as i^30 or i ^2 or i^7 all come up to one thing but I'm not sure what it is
please help soon!

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Evaluate:

Recall that:
=
=
=
=
=
and so on...
So you can see that the sequence goes:
i, -1, -i, 1, i, -1, -1, 1,...as the exponent of i goes from:
1, 2, 3, 4, 5, 6, 7, 8,... every fourth power of i will be = 1, so if you divide the the given exponent of 17 (from ) by 4 you get 4 plus a remainder of 1, so and
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