document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=506016>Question 506016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the first term of an arithmetic sequence is 3 and the one hundredth term is 795. What is the common difference? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340074 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=340074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for the nth term of an arithmetic sequence is<BR>\n" );
document.write( "a_n = a_1 + (n-1)d where a_1 is the 1st term, d is the common difference<BR>\n" );
document.write( "Given: a_1 = 3, a_100 = 795<BR>\n" );
document.write( "a_100 = 795 = 3 + (100-1)d<BR>\n" );
document.write( "792 = 99d<BR>\n" );
document.write( "d = 8<BR>\n" );
document.write( "So the common difference is 8. </SPAN>\n" );
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