document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936674>Question 936674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> cost of a borehole is £400 for the first meter and increases by £25 for each successive meter, calculate the cost of the borehole if it is 24 m deep. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570143 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=570143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the problem statement is not clear, so there are two possible interpretations:<BR>\n" );
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document.write( "A) first interpretation:<BR>\n" );
document.write( "meter 1 = 400<BR>\n" );
document.write( "meter 2 = 25<BR>\n" );
document.write( "meter 3 = 25<BR>\n" );
document.write( "...<BR>\n" );
document.write( "400 + 25*23 = 975<BR>\n" );
document.write( "answer A: <BR>\n" );
document.write( "borehole cost = 975<BR>\n" );
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document.write( "B) second interpretation:<BR>\n" );
document.write( "meter 1 = 400<BR>\n" );
document.write( "meter 2 = 400+25<BR>\n" );
document.write( "meter 3 = 400+25+25<BR>\n" );
document.write( "...<BR>\n" );
document.write( "400 + 400+(25*1) + 400+(25*2) ... + 400+(25*22) + 400+(25*23) = ???<BR>\n" );
document.write( "24*400 + 25*(1+2+ ... +22+23) = ???<BR>\n" );
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document.write( "the sum of consecutive integers from n to m = (m-n+1)*(n+m)/2 <BR>\n" );
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document.write( "24*400 + 25*(m-n+1)*(n+m)/2 = ???<BR>\n" );
document.write( "24*400 + 25*(23-1+1)*(1+23)/2 = 16500<BR>\n" );
document.write( "answer B: <BR>\n" );
document.write( "borehole cost = 16500<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );