document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=506885>Question 506885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> consider an arithmetc sequence whose fourth entry is 2 and whose seventh entry is 4. find the first and second entries of the sequence. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341009 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4th term = 2<BR>\n" );
document.write( "7th term = 4<BR>\n" );
document.write( "First term = ?<BR>\n" );
document.write( "Second term = ?<BR>\n" );
document.write( "Use<BR>\n" );
document.write( "Tn=a+(n-1)d<BR>\n" );
document.write( "Where<BR>\n" );
document.write( "Tn = Term<BR>\n" );
document.write( "n = Term number<BR>\n" );
document.write( "a = First term<BR>\n" );
document.write( "d = Common Difference\r<BR>\n" );
document.write( "\n" );
document.write( "========================================<BR>\n" );
document.write( "For 4th term<BR>\n" );
document.write( "a=?, d=?, Tn=2, n=4<BR>\n" );
document.write( "Tn=a+(n-1)d<BR>\n" );
document.write( "Put the values in above formula<BR>\n" );
document.write( "2=a+(4-1)d<BR>\n" );
document.write( "2=a+(3)d<BR>\n" );
document.write( "2=a+3d ................(1)<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "For 7th term<BR>\n" );
document.write( "a=?, d=?, Tn=4, n=7<BR>\n" );
document.write( "Tn=a+(n-1)d<BR>\n" );
document.write( "Put the values in above formula<BR>\n" );
document.write( "4=a+(7-1)d<BR>\n" );
document.write( "4=a+(6)d<BR>\n" );
document.write( "4=a+6d...............(2)<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "4=a+6d...............(2)<BR>\n" );
document.write( "-2=-a-3d ................(1)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "2=3d<BR>\n" );
document.write( "2/3=d<BR>\n" );
document.write( "Put the value of d in (1)<BR>\n" );
document.write( "2=a+3d ................(1)<BR>\n" );
document.write( "2=a+3*(2/3)<BR>\n" );
document.write( "2=a+2<BR>\n" );
document.write( "2-2=a<BR>\n" );
document.write( "a=0\r<BR>\n" );
document.write( "\n" );
document.write( "First term = 0<BR>\n" );
document.write( "Now<BR>\n" );
document.write( "For 2nd Term<BR>\n" );
document.write( "Tn=a+(n-1)d<BR>\n" );
document.write( "Tn=0+(2-1)2/3<BR>\n" );
document.write( "Tn=2/3<BR>\n" );
document.write( "For 3rd Term<BR>\n" );
document.write( "Tn=0+(3-1)2/3<BR>\n" );
document.write( "Tn=0+(3-1)2/3<BR>\n" );
document.write( "Tn=4/3<BR>\n" );
document.write( "For 4th Term<BR>\n" );
document.write( "Tn=0+(4-1)2/3<BR>\n" );
document.write( "Tn=0+(3)2/3<BR>\n" );
document.write( "Tn=2<BR>\n" );
document.write( "and so on ............\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Required A.P<BR>\n" );
document.write( "0,2/3,4/3, 2,.............\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );