document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048127>Question 1048127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3, , , 17, , , </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #663735 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=663735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An arithmetic sequence might work.<BR>\n" );
document.write( "i=1 gives 3, and i=4 gives 17.\r<BR>\n" );
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document.write( "Let d be the common difference to successive terms.<BR>\n" );
document.write( "The difference from i=1 to i=4 is 3d and this takes the sequence from element 3 to element 17.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B3d=17 ALIGN=MIDDLE  ALT=\"3%2B3d=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d=17-3 ALIGN=MIDDLE  ALT=\"3d=17-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d=14 ALIGN=MIDDLE  ALT=\"3d=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=14%2F3 ALIGN=MIDDLE  ALT=\"d=14%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, an arithmetic sequence can be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B%28n-1%29%2814%2F3%29 ALIGN=MIDDLE  ALT=\"3%2B%28n-1%29%2814%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; but other patterns may also be possible, but maybe giving other elements different values for indices not ( i=1 and i=4 ). </SPAN>\n" );
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