document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442536>Question 442536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the second term of a geometric sequence is 10 and the fifth term is 7290. find the nth term </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305279 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=305279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the second term of a geometric sequence is 10 and the fifth term is 7290. find the nth term<BR>\n" );
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document.write( "Form: a(n) = ab^(n-1)<BR>\n" );
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document.write( "a(5) = ab^4 = 7290<BR>\n" );
document.write( "a(2) = ab   = 10<BR>\n" );
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document.write( "Divide a(5) by a(2) to solve for \"b\":<BR>\n" );
document.write( "b^3 = 729<BR>\n" );
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document.write( "b = 9<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "ab = 10<BR>\n" );
document.write( "a*9 = 10<BR>\n" );
document.write( "a = 10/9 = 1.11111..<BR>\n" );
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document.write( "nth term = (10/9)(9)^n<BR>\n" );
document.write( "a(n) = 10*9^(n-1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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