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 #253550 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=253550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two consecutive terms in the arithmetic <BR>\n" );
document.write( "sequence 1,4,7,10,,, is 299 find these two terms?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "a(1) = 1<BR>\n" );
document.write( "d = 4-1 = 3<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Two consecutive terms would be:<BR>\n" );
document.write( "a(n) = a(1)+(n-1)d<BR>\n" );
document.write( "a(n+1) = a(1)+(n)d<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation: <BR>\n" );
document.write( "1 + (n-1)3 + 1+3n = 299<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2 + 3n-3 + 3n = 299<BR>\n" );
document.write( "6n = 300<BR>\n" );
document.write( "n = 50<BR>\n" );
document.write( "n+1 = 51<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a(50) = 1 + 49*3 = 148<BR>\n" );
document.write( "a(51) = 148+3 = 151<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "148+151 = 299<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );