document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316907>Question 316907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> So what I really need is the formula to use here. I can figure out the answer but would like the formula for different numbers. \r<BR>\n" );
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document.write( "I have $150,000,000 and planning on purchasing an item that costs $200,000. I can only buy one at a time and every time I purchase this item the price increases by $1,800. How many times can I purchase this item? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226894 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have an arithmetic progression with a starting value of 200000 and a difference of 1800.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=An=200000%2B1800%2A%28n-1%29 ALIGN=MIDDLE  ALT=\"An=200000%2B1800%2A%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with n=1,2,3,...<BR>\n" );
document.write( "The sum of an arithmetic progression is given as,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sn=%281%2F2%29%282A1%2Bd%28n-1%29%29n ALIGN=MIDDLE  ALT=\"Sn=%281%2F2%29%282A1%2Bd%28n-1%29%29n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%282%28200000%29%2B1800%28n-1%29%29n=150000000 ALIGN=MIDDLE  ALT=\"%281%2F2%29%282%28200000%29%2B1800%28n-1%29%29n=150000000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400000n%2B1800n%28n-1%29=300000000 ALIGN=MIDDLE  ALT=\"400000n%2B1800n%28n-1%29=300000000\"   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=400000n%2B1800n%5E2-1800n=300000000 ALIGN=MIDDLE  ALT=\"400000n%2B1800n%5E2-1800n=300000000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800n%5E2%2B398200-300000000=0 ALIGN=MIDDLE  ALT=\"1800n%5E2%2B398200-300000000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18n%5E2%2B3982n-3000000=0 ALIGN=MIDDLE  ALT=\"18n%5E2%2B3982n-3000000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9n%5E2%2B1991n-1500000=0 ALIGN=MIDDLE  ALT=\"9n%5E2%2B1991n-1500000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using the quadratic equation, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=312.6 ALIGN=MIDDLE  ALT=\"N=312.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You will be able to buy the 312th item but won't have enough money left for the next item.<BR>\n" );
document.write( " </SPAN>\n" );
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