document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029199>Question 1029199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The first term of a geometric progression is 5 and the fifth term is 1280, the common ratio is 4 \r<BR>\n" );
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document.write( "Find the expression of the nth term?\r<BR>\n" );
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document.write( "Can someone explain this step by step please  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644266 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " The first term of a geometric progression is 5 and the fifth term is 1280, the common ratio is 4 <BR>\n" );
document.write( "Find the expression of the nth term? <BR>\n" );
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document.write( "a(1) = 5<BR>\n" );
document.write( "r = 4<BR>\n" );
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document.write( "a(5) = 5*4^x = 1280<BR>\n" );
document.write( "4^x = 256<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "So the exponent of the common ratio is one-less than the number of the term.<BR>\n" );
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document.write( "Ans: a(n) = 5*4^(n-1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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