document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201568>Question 201568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151766 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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.<BR>\n" );
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document.write( "Raising i to powers is cyclic, it goes<BR>\n" );
document.write( "i, -1, -i, 1, for powers 1, 2, 3, 4. Then it repeats.<BR>\n" );
document.write( "Those 4 are all of the possibilities. </SPAN>\n" );
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