document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354971>Question 354971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> yes! i need help with this problem the sum of two consecutive terms in the arithmetic sequence 1,4,7,10,,, is 299 find these two terms? thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253553 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> since the difference between any two numbers is constant, that defines this sequence as arithmetic.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nth ALIGN=MIDDLE  ALT=\"nth\"   DISABLED_style= \"max-width:90%; height:auto;\" > term is defined as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2Bdelta%2A%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2Bdelta%2A%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=1 ALIGN=MIDDLE  ALT=\"a%5B1%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ie the first term and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=delta ALIGN=MIDDLE  ALT=\"delta\"   DISABLED_style= \"max-width:90%; height:auto;\" >=difference between consecutive terms  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=delta=3 ALIGN=MIDDLE  ALT=\"delta=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in this sequence<BR>\n" );
document.write( "---<BR>\n" );
document.write( "so...   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2Bdelta%2A%28n-1%29=1%2B3%28n-1%29=3n-2 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2Bdelta%2A%28n-1%29=1%2B3%28n-1%29=3n-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "sum of two consecutive terms:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D%2Ba%5Bn%2B1%5D=%283n-2%29%2B%283%28n%2B1%29-2%29=299 ALIGN=MIDDLE  ALT=\"a%5Bn%5D%2Ba%5Bn%2B1%5D=%283n-2%29%2B%283%28n%2B1%29-2%29=299\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "3n-2+3n+3-2=299<BR>\n" );
document.write( "6n-1=299<BR>\n" );
document.write( "6n=300<BR>\n" );
document.write( "n=50<BR>\n" );
document.write( "--<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=3n-2 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=3n-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=3*(50)-2=148<BR>\n" );
document.write( "--<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%2B1%5D=3%28n%2B1%29-2=3%2851%29-2=151 ALIGN=MIDDLE  ALT=\"a%5Bn%2B1%5D=3%28n%2B1%29-2=3%2851%29-2=151\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==<BR>\n" );
document.write( "validate\r<BR>\n" );
document.write( "\n" );
document.write( "148+151=299<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );