document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475171>Question 475171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE answer this .\r<BR>\n" );
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document.write( "You buy a commemorative coin for $25. The value of the coin increases 3.25% per year. How much will the coin be worth in 15 years? Round to the nearest cent. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325815 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "this is geometric sequence with ;<BR>\n" );
document.write( "first term, a = 25,\r<BR>\n" );
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document.write( "the coin increases 3.25%=0.0325 per year\r<BR>\n" );
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document.write( "so, common ratio, r =1+0.0325= 1.0325\r<BR>\n" );
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document.write( "the general form of a geometric sequence is<BR>\n" );
document.write( "a , a r , a r ² , a r ³ , .......... , a r &#8319;<BR>\n" );
document.write( ".................>>>...where a is the first term,<BR>\n" );
document.write( ".................>>>...r is the common ratio,<BR>\n" );
document.write( ".................>>>...nth term = a r ^ ( n - 1 )\r<BR>\n" );
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document.write( "15th term = 25 ( 1.0325 )^(15-1)<BR>\n" );
document.write( "................= 25 ( 1.0325 )^14<BR>\n" );
document.write( "................= 25 ( 1.5648 )<BR>\n" );
document.write( "................= 39.12\r<BR>\n" );
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document.write( "after 15 years, the coin will be worth $39.10. </SPAN>\n" );
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