SOLUTION: Describe the pattern you observe in the table. Verify that the pattern continues by evaluating the four powers of i. i2= I need you to help me with the pattern all the way to

Question 14019: Describe the pattern you observe in the table. Verify that the pattern continues by evaluating the four powers of i.
i2= I need you to help me with the pattern all the way to i40. Thanks. I
need it before 12:00p.m.
i3=
i4=
i5=
i6=
Found 2 solutions by Earlsdon, bam878s:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, remember that:

If you square you'll get -1.
So, Now, if you multiply by -1 you get:
= -i and so it goes.

=
= =
= = =
= =
and we start all over again.
See the pattern?
(i, i^2, i^3, i^4,), (i^5, i^6, i^6, i^7),(i^8, i^9, i^10, i^11)...
(i, -1, -i, 1), (i, -1, -i, 1), (i, -1. -i. 1)...
Answer by bam878s(77) (Show Source): You can put this solution on YOUR website!
We know i=
so, =-1.
=*i= -i.
= = 1.
= = i.
== -1 * 1 = -1.
== 1 * -i = -i.
== 1 * 1 = 1.
= = -i * -1 = i.
It follows that it follows this pattern throughout from here.
Note, I made use of this formula =.
Hope this helps.
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