document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853270>Question 853270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3+10+17+24+...\r<BR>\n" );
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document.write( "a). Use summation notation to write the series. Explain what the numbers in the summation notation represent in this situation and how you found the expression used in the summation.<BR>\n" );
document.write( "b). Find the total number of beads in the necklace. Explain your method for finding the total number of beads. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513989 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Necklace Row I -------- 3\r<BR>\n" );
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document.write( "Row II------------------10\r<BR>\n" );
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document.write( "Row III-----------------17\r<BR>\n" );
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document.write( "common difference between rows is 7. d=7<BR>\n" );
document.write( "The first row has 3 so a= 3<BR>\n" );
document.write( "Number of rows = 18\r<BR>\n" );
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document.write( "It is an Arithmatic Progression\r<BR>\n" );
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document.write( "The summation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Sn+=+%28n%2F2%29%28+2a+%2B+%28n-1%29d%29 ALIGN=MIDDLE  ALT=\"+Sn+=+%28n%2F2%29%28+2a+%2B+%28n-1%29d%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=Sn+=+%2818%2F2%29%282%2A3+%2B+%2818-1%29+%2A+7%29 ALIGN=MIDDLE  ALT=\"Sn+=+%2818%2F2%29%282%2A3+%2B+%2818-1%29+%2A+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= 9(6+17*7)\r<BR>\n" );
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document.write( "= 9(6+119)\r<BR>\n" );
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document.write( "=9*125\r<BR>\n" );
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document.write( "= 1125\r<BR>\n" );
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document.write( "The total beads = 1125\r<BR>\n" );
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document.write( " </SPAN>\n" );
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