document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618264>Question 618264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the question:\r<BR>\n" );
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document.write( "Find the sum of all the multiples of seven between 18 and 711\r<BR>\n" );
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document.write( "Thanks =) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388800 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the question:\r<BR>\n" );
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document.write( "Find the sum of all the multiples of seven between 18 and 711\r<BR>\n" );
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document.write( "Thanks =)\r<BR>\n" );
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document.write( "Since the multiples of 7 that are between 18 and 711 start at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21 ALIGN=MIDDLE  ALT=\"21\"   DISABLED_style= \"max-width:90%; height:auto;\" >(7 * 3), and end at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=707 ALIGN=MIDDLE  ALT=\"707\"   DISABLED_style= \"max-width:90%; height:auto;\" >(7 * 101), then the smallest number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21 ALIGN=MIDDLE  ALT=\"21\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the largest number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=707 ALIGN=MIDDLE  ALT=\"707\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the series<BR>\n" );
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document.write( "Additionally, the number of numbers with a difference of 7 between them, which starts at 21 and ends at 707, inclusive, is computed as follows: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28707+-+21+%2B+7%29%2F7 ALIGN=MIDDLE  ALT=\"%28707+-+21+%2B+7%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=693%2F7 ALIGN=MIDDLE  ALT=\"693%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99 ALIGN=MIDDLE  ALT=\"99\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The sum of a series of numbers can be found by applying the following formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+%28n%2F2%29%28a%5B1%5D+%2B+a%5B2%5D%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+%28n%2F2%29%28a%5B1%5D+%2B+a%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with n being the number of numbers; and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D ALIGN=MIDDLE  ALT=\"a%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > being the smallest and largest numbers in the series, respectively\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B99%5D+=+%2899%2F2%29%2821+%2B+707%29 ALIGN=MIDDLE  ALT=\"S%5B99%5D+=+%2899%2F2%29%2821+%2B+707%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- Substituting 99 for n; 21 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 707 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D ALIGN=MIDDLE  ALT=\"a%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, respectively\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B99%5D+=+%2849.5%29%28728%29 ALIGN=MIDDLE  ALT=\"S%5B99%5D+=+%2849.5%29%28728%29\"   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=highlight_green%28S%5B99%5D+=+36036%29 ALIGN=MIDDLE  ALT=\"highlight_green%28S%5B99%5D+=+36036%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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