how to find an equation given something

May 2010
43
7
Let's review the properties of i:

\(\displaystyle
i = sqrt (-1)
\)
\(\displaystyle
i^2 = -1
\)
\(\displaystyle
i^3 = -i
\)
\(\displaystyle
i^4 = 1
\)

each set of i iterates in this fashion which means
\(\displaystyle i^5 = sqrt(-1)\)
 
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