document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936142>Question 936142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the sum of the first 20 terms in the series 1,5,9,13,17... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569578 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given series is 1,5,9,13,17....<BR>\n" );
document.write( "  first term  (a)= 1<BR>\n" );
document.write( " difference b/w first term and second term  = 5-1 =4<BR>\n" );
document.write( "difference b/w second and third term  = 9-5=4<BR>\n" );
document.write( "every where difference b/w two consecutive terms is 4<BR>\n" );
document.write( "hence the give series is Arithmetic series<BR>\n" );
document.write( "formula ; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sum+=+%28n%2F2%29%282a%2B%28n-1%29d%29 ALIGN=MIDDLE  ALT=\"+sum+=+%28n%2F2%29%282a%2B%28n-1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  where n= no of terms <BR>\n" );
document.write( "   d is common difference <BR>\n" );
document.write( "   n= 20<BR>\n" );
document.write( "d= 4<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "sum = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2820%2F2%29%28+2%2A1%2B%2820-1%29%2A4%29 ALIGN=MIDDLE  ALT=\"+%2820%2F2%29%28+2%2A1%2B%2820-1%29%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2A%282%2B19%2A4%29 ALIGN=MIDDLE  ALT=\"+10%2A%282%2B19%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A%282%2B76%29 ALIGN=MIDDLE  ALT=\"10%2A%282%2B76%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A78 ALIGN=MIDDLE  ALT=\"10%2A78\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " =780<BR>\n" );
document.write( "Result : sum =780<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );