document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105091>Question 1105091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ( This might seem long but I tried to show what I did, and where I'm lost at.)\r<BR>\n" );
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document.write( "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). If you were to write this series in summation notation, give...<BR>\n" );
document.write( "i. the lower limit of the sum<BR>\n" );
document.write( "ii. the upper limit of the sum<BR>\n" );
document.write( "iii. the explicit formula of the sum\r<BR>\n" );
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document.write( "b). Find the total number of beads in the necklace. Explain your method for finding the total number of beads. \r<BR>\n" );
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document.write( "Me:<BR>\n" );
document.write( "I tried to get this one ( &#931; to answer for this question.) but I'm lost really, I do know that...<BR>\n" );
document.write( "a.i.   <BR>\n" );
document.write( "18<BR>\n" );
document.write( "       &#931;<BR>\n" );
document.write( "      n+7<BR>\n" );
document.write( "and that's kinda it. I'm not really good when it comes to these types of math, but I want to get better at it. Could you please explain it to me? Thanks in advance! ^>^ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719829 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=719829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at the initial value 3.<BR>\n" );
document.write( "To that, when n=0, 3+n=3 for the first value.<BR>\n" );
document.write( "Every value after that goes up 7<BR>\n" );
document.write( "So (3+7(0))+(3+7(1))+(3+7(2)) is the pattern.<BR>\n" );
document.write( "So it is the sum of n=0 to 17 (that is 18 unique rows) of 3+7n.<BR>\n" );
document.write( "Need to know a18, the 18th and final sum.  That is 3+7(17)=122, the first row +the increase each row* the number of rows minus 1<BR>\n" );
document.write( "Sum=(n/2)(a1+an)=(18/2)(3+122)=9*(125)=1125<BR>\n" );
document.write( "3,10,17,24,31,38,45,52,59,66,73,80,87,94,101,108,115,122=1125<BR>\n" );
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