document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126167>Question 1126167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the 100th term of an arithmetic sequence is 213, and its common difference is 2, then <BR>\n" );
document.write( "its first term <BR>\n" );
document.write( "a^1=<BR>\n" );
document.write( "a^2=<BR>\n" );
document.write( "a^3= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742536 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A solution to the problem using the formal mathematics, as shown by the other tutor, is of course valid.  But if you don't need to show a formal solution, you can get the answer with much less work.<br><BR>\n" );
document.write( "The 1st term of the sequence is 99 terms before the 100th term, so the first term is the 100th term minus 99 times the common difference: 213-99(2) = 213-198 = 15.<br><BR>\n" );
document.write( "Then the next two terms are found by adding 2....<br><BR>\n" );
document.write( "ANSWERS: a(1)=15; a(2) = 17; a(3) = 19 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );