document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006190>Question 1006190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For an arithmetic sequence, find t(n) if:<BR>\n" );
document.write( "a. t(3)= 6.5 and s(8)=67\r<BR>\n" );
document.write( "\n" );
document.write( "b. t(4)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2Fsqrt%285%29+ ALIGN=MIDDLE  ALT=\"+6%2Fsqrt%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and s(5)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6sqrt%285%29+ ALIGN=MIDDLE  ALT=\"+6sqrt%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Sorry, I really don't know where to start!!<BR>\n" );
document.write( "Please write explanations if you can! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622335 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=622335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> check for the formulas in your book; but t is for term and s is for a summation.  You have arithmetic sequence and series.  This help is for your part (a).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "t1+(n-1)d=tn, excuse the poor subscripting; and you have  t1+(3-1)d=6.5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Next facts give you s=(n/2)(t1+tn) but I really should show this to you better as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5B8%5D=%288%2F2%29%28t%5B1%5D%2Bt%5B8%5D%29 ALIGN=MIDDLE  ALT=\"s%5B8%5D=%288%2F2%29%28t%5B1%5D%2Bt%5B8%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you were given the value of the summation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5B8%5D=%288%2F2%29%28t%5B1%5D%2Bt%5B8%5D%29=67 ALIGN=MIDDLE  ALT=\"s%5B8%5D=%288%2F2%29%28t%5B1%5D%2Bt%5B8%5D%29=67\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You will have two equations in the two unknowns <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and d. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );