document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118204>Question 1118204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10. Evaluate the following. Show your work using concepts from this unit.\r<BR>\n" );
document.write( "\n" );
document.write( "a) 1 - 3 + 5 - 7 + 9 -11 + ... + 201 - 203\r<BR>\n" );
document.write( "\n" );
document.write( "b) 300 - 299 + 298 - 297 + ... + 100 - 99 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733466 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=733466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10. Evaluate the following. Show your work using concepts from this unit. <BR>\n" );
document.write( "a) 1 - 3 + 5 - 7 + 9 -11 + ... + 201 - 203<BR>\n" );
document.write( "= 1+5+9+13...+201 -[3+7+11+15+...+203]<BR>\n" );
document.write( "= 1 + 4+1 + 2*4+1 + 3*4+1 +...+50*4+1 - [4-1 + 2*4-1 + 3*4-1+...+51*4-1]<BR>\n" );
document.write( "1st Series:: a(1) = 1 ; d = 4 ; n = 51<BR>\n" );
document.write( "Sum of 1st Series:: (51/2)(1 + 201) = 51*101 = 5151<BR>\n" );
document.write( "2nd Series:: a(1) = 3 ; d = 4 ; n = 51<BR>\n" );
document.write( "Sum of 2nd Series:: (51/2)(3+203) = 51*103 = 5253<BR>\n" );
document.write( "Ans: 5151-5253 = -2<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------- <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );