document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859776>Question 859776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider two different arithmetic sequences:<BR>\n" );
document.write( "3,14,25,36,47,58 ....where numbers increase by 11 and<BR>\n" );
document.write( "2,9,16,23,30 .... where numbers increase by 7.<BR>\n" );
document.write( "What are the first 10 numbers which appear in both sequences ????\r<BR>\n" );
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document.write( "Please help ... thank you!!!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517953 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=517953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first sequence starts at 3 and increments by 11.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=3%2B11j ALIGN=MIDDLE  ALT=\"A=3%2B11j\"   DISABLED_style= \"max-width:90%; height:auto;\" > where j is any integer greater than or equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0 ALIGN=MIDDLE  ALT=\"0.0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The second sequence starts at 2 and increments by 7.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=2%2B7k ALIGN=MIDDLE  ALT=\"B=2%2B7k\"   DISABLED_style= \"max-width:90%; height:auto;\" > where k is any integer greater than or equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0 ALIGN=MIDDLE  ALT=\"0.0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So now find when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B ALIGN=MIDDLE  ALT=\"A=B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B11j=2%2B7k ALIGN=MIDDLE  ALT=\"3%2B11j=2%2B7k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%5B0%5D=5 ALIGN=MIDDLE  ALT=\"j%5B0%5D=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5B0%5D=8 ALIGN=MIDDLE  ALT=\"k%5B0%5D=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j=5%2B7n ALIGN=MIDDLE  ALT=\"j=5%2B7n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=8%2B11n ALIGN=MIDDLE  ALT=\"k=8%2B11n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B ALIGN=MIDDLE  ALT=\"A=B\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=1 ALIGN=MIDDLE  ALT=\"n=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=10 ALIGN=MIDDLE  ALT=\"n=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the first 10 values that appear in both sequences.<BR>\n" );
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