document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258725>Question 258725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Answer the following. Please show your work.<BR>\n" );
document.write( "1+14+27+...+183<BR>\n" );
document.write( "   Step 1: Using the formula for the sum of an arithmetic series, find the value of each of the following:<BR>\n" );
document.write( "a[1]=    a[2]=     a[n]=   and   d=a[2]-a[1]=\r<BR>\n" );
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document.write( "   Step 2: Find n, the number of terms in the arithmetic sequence. Use the formula a[n]=a[1]+(n-1)d\r<BR>\n" );
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document.write( "  Step 3: Find the sum of the arithmetic sequence. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190470 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=190470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1+14+27+...+183<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=14-1=13 ALIGN=MIDDLE  ALT=\"d=14-1=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=27-14=13 ALIGN=MIDDLE  ALT=\"d=27-14=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+183=1%2B%28n-1%2913 ALIGN=MIDDLE  ALT=\"+183=1%2B%28n-1%2913\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=182=%28n-1%2913 ALIGN=MIDDLE  ALT=\"182=%28n-1%2913\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14=n-1 ALIGN=MIDDLE  ALT=\"14=n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=15 ALIGN=MIDDLE  ALT=\"n=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1=1 ALIGN=MIDDLE  ALT=\"a1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a2=a1%2B13 ALIGN=MIDDLE  ALT=\"a2=a1%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a3=a2%2B13=a1%2B13%2B13=a1%2B2%2813%29 ALIGN=MIDDLE  ALT=\"a3=a2%2B13=a1%2B13%2B13=a1%2B2%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a4=a3%2B13=a2%2B13%2B13=a1%2B13%2B13%2B13=a1%2B3%2813%29 ALIGN=MIDDLE  ALT=\"a4=a3%2B13=a2%2B13%2B13=a1%2B13%2B13%2B13=a1%2B3%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the sum from 1 to n is<BR>\n" );
document.write( "Sum=n+Sum(1 to n)*13<BR>\n" );
document.write( "The sum from 1 to n=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28n-1%29%2F2 ALIGN=MIDDLE  ALT=\"n%28n-1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sum=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Bn%28n-1%29%2A%2813%2F2%29 ALIGN=MIDDLE  ALT=\"n%2Bn%28n-1%29%2A%2813%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since n=15,<BR>\n" );
document.write( "Sum(1-15)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2B15%2814%2913%2F2=15%2B1365=1380 ALIGN=MIDDLE  ALT=\"15%2B15%2814%2913%2F2=15%2B1365=1380\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );