document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210226>Question 1210226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the sequence<BR>\n" );
document.write( "1, 5, 6, 25, 26, 30, 31, ...<BR>\n" );
document.write( "which consists of every positive integer that can be expressed as a sum of distinct powers of 5.\r<BR>\n" );
document.write( "\n" );
document.write( "What is the first term that is greater than 50? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851691 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The last number shown in the sequence is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31=5%5E0%2B5%5E1%2B5%5E2 ALIGN=MIDDLE  ALT=\"31=5%5E0%2B5%5E1%2B5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That is the sum of all the distinct powers of 5 up to the second power, so the next number in the sequence must involve the third power of 5, which is 125.<br><BR>\n" );
document.write( "And since 125 is greater than 50, it is the next number in the sequence.<br><BR>\n" );
document.write( "ANSWER: 125<br><BR>\n" );
document.write( " </SPAN>\n" );
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