document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983316>Question 983316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many terms are in the sequence -83, -66, -49, -32,...597\r<BR>\n" );
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document.write( "I think this is an arithmetic sequence, I am just not sure how to calculate how many terms are in this  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604085 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "You are given an arithmetic progression with the first term &nbsp;-83, &nbsp;with the common difference &nbsp;17&nbsp; and with the last term &nbsp;597.\r<BR>\n" );
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document.write( "The number of terms in this progression is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28597+-+%28-83%29%29%2F17 ALIGN=MIDDLE  ALT=\"%28597+-+%28-83%29%29%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28597+%2B+83%29%2F17 ALIGN=MIDDLE  ALT=\"%28597+%2B+83%29%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=680%2F17 ALIGN=MIDDLE  ALT=\"680%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40 + 1 = 41.\r<BR>\n" );
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document.write( "The ratio &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28597+-+%28-83%29%29%2F17 ALIGN=MIDDLE  ALT=\"%28597+-+%28-83%29%29%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; is the number of &nbsp;<B><U>intervals</U></B>&nbsp; between the terms. &nbsp;You must add &nbsp;\"1\"&nbsp; to account for the number of &nbsp;<B><U>terms</U></B>.\r<BR>\n" );
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document.write( "Or, &nbsp;in similar situation you may always think about &nbsp;\"an arithmetic progression &nbsp;1, 2\"&nbsp; consisting of two terms. \r<BR>\n" );
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document.write( "It has the common difference &nbsp;1, &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-1%29%2F1 ALIGN=MIDDLE  ALT=\"%282-1%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 &nbsp;and the progression includes two terms.\r<BR>\n" );
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