document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438860>Question 438860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In each of the following, list terms that continue a possible<BR>\n" );
document.write( "pattern. Which of the sequences are arithmetic,<BR>\n" );
document.write( "which are geometric, and which are neither?<BR>\n" );
document.write( "a. 8, 11, 14, 17, 20, ...<BR>\n" );
document.write( "b. 1, 16, 81, 256, 625, ...<BR>\n" );
document.write( "c. 5, 15, 45, 135, 405, ...<BR>\n" );
document.write( "d. 2, 7, 12, 17, 22, ...<BR>\n" );
document.write( "e.1, 1/2, 1/4, 1/8, 1/16, ...\r<BR>\n" );
document.write( "\n" );
document.write( "Find the 100th term and the nth term for each of the<BR>\n" );
document.write( "sequences in exercise above. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303392 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 4 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi, <BR>\n" );
document.write( "a. 8, 11, 14, 17, 20, ... <BR>\n" );
document.write( "Arithmetic d = 3 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B100%5D=8%2B%2899%29%2A3 ALIGN=MIDDLE  ALT=\"a%5B100%5D=8%2B%2899%29%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "b. 1, 16, 81, 256, 625, ...<BR>\n" );
document.write( "   Neither <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=n%5E4 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=n%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B100%5D+=+100%5E4 ALIGN=MIDDLE  ALT=\"a%5B100%5D+=+100%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "c. 5, 15, 45, 135, 405, ...<BR>\n" );
document.write( "  Neither  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=+5+%2A+3%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=+5+%2A+3%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B100%5D=+5%2A+3%5E%2899%29 ALIGN=MIDDLE  ALT=\"a%5B100%5D=+5%2A+3%5E%2899%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "d. 2, 7, 12, 17, 22, ...<BR>\n" );
document.write( "Arithmetic d = 5 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B100%5D=2%2B%2899%29%2A5 ALIGN=MIDDLE  ALT=\"a%5B100%5D=2%2B%2899%29%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "e.1, 1/2, 1/4, 1/8, 1/16, ... <BR>\n" );
document.write( "Geometric r = 1/2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B100%5D+=+1%2A%28.5%29%5E%2899%29 ALIGN=MIDDLE  ALT=\"a%5B100%5D+=+1%2A%28.5%29%5E%2899%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );