document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35878>Question 35878</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618250204/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> a. find the sum of the first n terms of the arithmetic series.<BR>\n" );
document.write( "b. find n for the given sum S sub n.<BR>\n" );
document.write( "45. 3+8+13+18+23+...<BR>\n" );
document.write( "a. n=20   b. S sub n=366 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21965 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. find the sum of the first n terms of the arithmetic series.<BR>\n" );
document.write( "b. find n for the given sum S sub n.<BR>\n" );
document.write( "45. 3+8+13+18+23+...<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "a. n=20 <BR>\n" );
document.write( "SN=(N/2){2A+(N-1)D}.....A=3....D=8-3=13-8=18-13=23-18=5....N=20<BR>\n" );
document.write( "SN=(20/2){2*3+(20-1)5}=10(6+19*5)=10(6+95)=10*101=1010<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "b. S sub n=366<BR>\n" );
document.write( "366=(N/2){2*3+(N-1)5}=(N/2){6+5N-5}=(N/2)(5N+1)<BR>\n" );
document.write( "N(5N+1)=366*2=732<BR>\n" );
document.write( "5N^2+N-732=0<BR>\n" );
document.write( "5N^2+61N-60N-732=0<BR>\n" );
document.write( "N(5N+61)-12(5N+61)=0<BR>\n" );
document.write( "(5N+61)(N-12)=0<BR>\n" );
document.write( "N-12=0...OR...N=12.................5N+61=0 IS NOT TENABLE AS N IS NOT AN INTEGER. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );