document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82554>Question 82554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the next term of the sequence. \r<BR>\n" );
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document.write( "1, 8, 27, 64, ...  <BR>\n" );
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document.write( "  What is the formula for the following arithmetic sequence?\r<BR>\n" );
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document.write( "-2, 3, 8, 13, ...  <BR>\n" );
document.write( "    a.an = -2n + 3  <BR>\n" );
document.write( "   b.an = -2n + 7  <BR>\n" );
document.write( "   c.an = 5n + 3  <BR>\n" );
document.write( "   d.an = 5n - 7  <BR>\n" );
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document.write( "  What is the common difference of the sequence? \r<BR>\n" );
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document.write( "2, -1, -4, -7, ...  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59132 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first sequence is cube numbers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E3 ALIGN=MIDDLE  ALT=\"1%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E3 ALIGN=MIDDLE  ALT=\"3%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E3 ALIGN=MIDDLE  ALT=\"4%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the next number would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E3=125 ALIGN=MIDDLE  ALT=\"5%5E3=125\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The second problem has a common difference of 5. Testing last two choices which contain 5n shows that the correct answer is 5n-7.<BR>\n" );
document.write( "The common difference is -3 as each term is three less than its predecessor.<BR>\n" );
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