document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199651>Question 1199651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the first four terms of a linear sequence A.p is 26 and that of the next four term is 74. find the value of the first term ,the common difference </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833618 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Each number in the second sub-sequence of 4 terms is equal to the corresponding number in the first sub-sequence of 4 terms, plus the common difference 4 times.<br><BR>\n" );
document.write( "So the sum of the 4 terms of the second sub-sequence is 4(4) = 16 times the common difference.<br><BR>\n" );
document.write( "The difference between the sums of the two sub-sequences is 74-26 = 48:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16d=48 ALIGN=MIDDLE  ALT=\"16d=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3 ALIGN=MIDDLE  ALT=\"d=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The common difference for the sequence is 3.<br><BR>\n" );
document.write( "The first term of the sequence is a; the fourth term is a+3d = a+9.<br><BR>\n" );
document.write( "The sum of the first four terms of the sequence is 4 times the average of the first and fourth terms; that sum is 26:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28%28a%2Ba%2B9%29%2F2%29=26 ALIGN=MIDDLE  ALT=\"4%28%28a%2Ba%2B9%29%2F2%29=26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%282a%2B9%29=52 ALIGN=MIDDLE  ALT=\"4%282a%2B9%29=52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B9=13 ALIGN=MIDDLE  ALT=\"2a%2B9=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a=4 ALIGN=MIDDLE  ALT=\"2a=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS:  first term a=2; common difference 3<br><BR>\n" );
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