document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205120>Question 1205120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold seven cars (P0=7). The second week the dealership sold fifteen cars (p1=15).\r<BR>\n" );
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document.write( "Write the recursive formula for the number of cars sold, <BR>\n" );
document.write( "Pn, in the (N+ 1)th week.\r<BR>\n" );
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document.write( "Pn=Pn+ Blank<BR>\n" );
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document.write( "Write the explicit formula for the number of cars sold, Pn, in the (N+1)th week.\r<BR>\n" );
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document.write( " Pn=     N+   \r<BR>\n" );
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document.write( "If this trend continues, how many cars will be sold in the sixth week?\r<BR>\n" );
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document.write( "blank cars\r<BR>\n" );
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document.write( "In each box, enter a single number. Do not leave any boxes blank (enter 1 or 0 as appropriate if necessary) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841761 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Given data:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B0%5D+=+7 ALIGN=MIDDLE  ALT=\"P%5B0%5D+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > (number of cars sold in the first week)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+15 ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > (number of cars sold in the second week)\r<BR>\n" );
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document.write( "We can see that each week, the number of cars sold increases by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "It's an arithmetic sequence, with common difference <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=8 ALIGN=MIDDLE  ALT=\"d=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, the recursive formula can be expressed as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bn%5D=+P%5B1%5D+%2B+%28n-1%29d+ ALIGN=MIDDLE  ALT=\"P%5Bn%5D=+P%5B1%5D+%2B+%28n-1%29d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=8 ALIGN=MIDDLE  ALT=\"d=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B0%5D=7 ALIGN=MIDDLE  ALT=\"P%5B0%5D=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bn%5D=7%2B%28n-1%29+8 ALIGN=MIDDLE  ALT=\"P%5Bn%5D=7%2B%28n-1%29+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bn%5D=7%2B8n-8 ALIGN=MIDDLE  ALT=\"P%5Bn%5D=7%2B8n-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bn%5D=8n-1 ALIGN=MIDDLE  ALT=\"P%5Bn%5D=8n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " how many cars will be sold in the sixth week?\r<BR>\n" );
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document.write( "substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=6 ALIGN=MIDDLE  ALT=\"n=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B6%5D=8%2A6-1 ALIGN=MIDDLE  ALT=\"P%5B6%5D=8%2A6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B6%5D=47 ALIGN=MIDDLE  ALT=\"P%5B6%5D=47\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in the sixth week <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47 ALIGN=MIDDLE  ALT=\"47\"   DISABLED_style= \"max-width:90%; height:auto;\" > cars will be sold\r<BR>\n" );
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