document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57214>Question 57214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sum this series of numbers:  1+4+7+10+13+16+....+8938+8941+8944.  How do you find the number of integers and how do you solve?  I got 1491 integers [1+(n-1)*3 = 8944 and Sum [n/2*(1+8944)]= 13,336,995. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38927 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=38927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sum this series of numbers: 1+4+7+10+13+16+....+8938+8941+8944. How do you find the number of integers and how do you solve? I got 1491 integers [1+(n-1)*3 = 8944 and Sum [n/2*(1+8944)]= 13,336,995.<BR>\n" );
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document.write( "a(n)=a(1)+(n-1)d<BR>\n" );
document.write( "1+(n-1)3=8944<BR>\n" );
document.write( "(n-1)3=8943<BR>\n" );
document.write( "n-1=2981<BR>\n" );
document.write( "n=2982 <BR>\n" );
document.write( "The last term is the 2982nd term<BR>\n" );
document.write( "Sum= (n/2)(1+8944)<BR>\n" );
document.write( "Sum=(2982/2)(8945)<BR>\n" );
document.write( "Sum=your answer is correct here<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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