document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205056>Question 205056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many terms of the arithmetic sequence 2, 4, 6, 8, ... add up to 60,762?  Can anyone help me with the answer and how you solved for it?  I am confused and have gotten several different answers trying to do this problem.  Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154801 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10557)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=154801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The largest number in the sequence is calculated as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282L%2BL%5E2%29%2F2=121524 ALIGN=MIDDLE  ALT=\"%282L%2BL%5E2%29%2F2=121524\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2B2L-243048=0 ALIGN=MIDDLE  ALT=\"L%5E2%2B2L-243048=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is then calculated using the quadratic equation formula, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and with a = 1, b = 2, and c = - 243,048\r<BR>\n" );
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document.write( "The largest number in the sequence is 492, and that makes the average of the numbers in the sequence 247 (mean or average of the largest and smallest values in the sequence), or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B492%29%2F2 ALIGN=MIDDLE  ALT=\"%282%2B492%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, the number of numbers in the sequence is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28246%29 ALIGN=MIDDLE  ALT=\"highlight_green%28246%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
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document.write( "calculated as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28492+-+2+%2B+2%29%2F2 ALIGN=MIDDLE  ALT=\"%28492+-+2+%2B+2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "Sum of numbers in sequence = average of largest and smallest values, times the number of numbers in the sequence, or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=247%2A246 ALIGN=MIDDLE  ALT=\"247%2A246\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 60,762. To put it another way, number of numbers in a sequence = Sum of the numbers in the sequence, divided by the average, or mean of the numbers in the sequence, or, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60762%2F247=246 ALIGN=MIDDLE  ALT=\"60762%2F247=246\"   DISABLED_style= \"max-width:90%; height:auto;\" > numbers\r<BR>\n" );
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document.write( " </SPAN>\n" );
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