document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97661>Question 97661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> exercise:<BR>\n" );
document.write( "write a formula for the nth term of each arithmetic sequence:<BR>\n" );
document.write( "1. -4,-2,0,2,4,...<BR>\n" );
document.write( "2. 5,1,-3,-7,-11,..<BR>\n" );
document.write( "how can i solve these?<BR>\n" );
document.write( "can you help me?<BR>\n" );
document.write( "and could you please explain it to me how it come so that i can understand it better...<BR>\n" );
document.write( "thank you very much...<BR>\n" );
document.write( "your responce will highly appreciated.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71055 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> nth term of an arithmetic sequence is give by<BR>\n" );
document.write( " t(n) = a + (n-1)d where a is the first team of the sequence and d the common difference\r<BR>\n" );
document.write( "\n" );
document.write( "for the first series <BR>\n" );
document.write( "a=-4 <BR>\n" );
document.write( "d= -2 - (-4)  difference between any 2 successive terms<BR>\n" );
document.write( " = 2\r<BR>\n" );
document.write( "\n" );
document.write( "t(n) = -4 + (n-1)2<BR>\n" );
document.write( "     = -4 + 2n -2<BR>\n" );
document.write( "     = 2n - 6\r<BR>\n" );
document.write( "\n" );
document.write( "for the second series <BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "and d = 1-5 = -4\r<BR>\n" );
document.write( "\n" );
document.write( "the nth term<BR>\n" );
document.write( "t(n) = 5 + (n-1)* -4<BR>\n" );
document.write( "     = -4n +9  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );