document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086266>Question 1086266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In preparing for a marathon run in the spring, Joelle runs 5 miles in week 4 of training and 10 miles in week 14. Joelle's weekly increase in mileage follows an arithmetic sequence.\r<BR>\n" );
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document.write( "a) write the general term that relates the number of mile of the week number of training.\r<BR>\n" );
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document.write( "b) An official marathon is 26 mile long. In which week would Joelle run at least 26 miles?\r<BR>\n" );
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document.write( "c) What assumption is made in order to answer part b.? what are some reasons why this may not be a good assumption? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700460 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5Bn%5D+=+a%5B1%5D+%2B+%28+n-1+%29%2Ad+ ALIGN=MIDDLE  ALT=\"+a%5Bn%5D+=+a%5B1%5D+%2B+%28+n-1+%29%2Ad+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "You are given that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B4%5D+=+5+ ALIGN=MIDDLE  ALT=\"+a%5B4%5D+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B14%5D+=+10+ ALIGN=MIDDLE  ALT=\"+a%5B14%5D+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B4%5D+=+a%5B1%5D+%2B+%28+4-1+%29%2Ad+ ALIGN=MIDDLE  ALT=\"+a%5B4%5D+=+a%5B1%5D+%2B+%28+4-1+%29%2Ad+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+a%5B1%5D+%2B+3d+ ALIGN=MIDDLE  ALT=\"+5+=+a%5B1%5D+%2B+3d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B14%5D+=+a%5B1%5D+%2B+%28+14+-+1+%29%2Ad+ ALIGN=MIDDLE  ALT=\"+a%5B14%5D+=+a%5B1%5D+%2B+%28+14+-+1+%29%2Ad+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+=+a%5B1%5D+%2B+13d+ ALIGN=MIDDLE  ALT=\"+10+=+a%5B1%5D+%2B+13d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+=+a%5B1%5D+%2B+13d+ ALIGN=MIDDLE  ALT=\"+10+=+a%5B1%5D+%2B+13d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5+=-+a%5B1%5D+-+3d+ ALIGN=MIDDLE  ALT=\"+-5+=-+a%5B1%5D+-+3d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+10d+ ALIGN=MIDDLE  ALT=\"+5+=+10d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+d+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+a%5B1%5D+%2B+3d+ ALIGN=MIDDLE  ALT=\"+5+=+a%5B1%5D+%2B+3d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+a%5B1%5D+%2B+3%2A%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+5+=+a%5B1%5D+%2B+3%2A%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+=+5+-+3%2F2+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+=+5+-+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5B1%5D+=+7%2F2+ ALIGN=MIDDLE  ALT=\"+a%5B1%5D+=+7%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5Bn%5D+=+7%2F2+%2B+%28+n-1+%29%2A%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+a%5Bn%5D+=+7%2F2+%2B+%28+n-1+%29%2A%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "relates number of miles, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5Bn%5D+ ALIGN=MIDDLE  ALT=\"+a%5Bn%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and week number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5Bn%5D+=+26+ ALIGN=MIDDLE  ALT=\"+a%5Bn%5D+=+26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5Bn%5D+=+7%2F2+%2B+%28+n-1+%29%2A%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+a%5Bn%5D+=+7%2F2+%2B+%28+n-1+%29%2A%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26+=+7%2F2+%2B+%28+n-1+%29%2A%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+26+=+7%2F2+%2B+%28+n-1+%29%2A%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+52+=+7+%2B+n+-+1+ ALIGN=MIDDLE  ALT=\"+52+=+7+%2B+n+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+46+ ALIGN=MIDDLE  ALT=\"+n+=+46+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In week 46 she would run at least 26 mi<BR>\n" );
document.write( "c)<BR>\n" );
document.write( "The assumption is that the sequence would continue<BR>\n" );
document.write( "to be arithmetic no matter how big <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );