document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=609833>Question 609833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have also been asked to solve this geometric sequence problem and show the work however I am at a standstill with it. Could you help me with figuring this out, so that I can understand how to do this type of work? <BR>\n" );
document.write( "    A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383961 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=383961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can do this the long way without a formula<BR>\n" );
document.write( "After 1 year:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500+%2B+.05%2A500+ ALIGN=MIDDLE  ALT=\"+500+%2B+.05%2A500+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in savings account<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "After 2 years:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500+%2B+.05%2A500+%2B+.05%2A%28+500+%2B+.05%2A500+%29+ ALIGN=MIDDLE  ALT=\"+500+%2B+.05%2A500+%2B+.05%2A%28+500+%2B+.05%2A500+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Here's the trick: factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500+%2B+.05%2A500+ ALIGN=MIDDLE  ALT=\"+500+%2B+.05%2A500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+500+%2B+.05%2A500+%29%2A%28+1+%2B+.05+%29%0D%0ANow+factor+out+%7B%7B%7B+500+ ALIGN=MIDDLE  ALT=\"+%28+500+%2B+.05%2A500+%29%2A%28+1+%2B+.05+%29%0D%0ANow+factor+out+%7B%7B%7B+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the 1st term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500%2A%28+1+%2B+.05+%29%2A%28+1+%2B+.05+%29+ ALIGN=MIDDLE  ALT=\"+500%2A%28+1+%2B+.05+%29%2A%28+1+%2B+.05+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500%2A%28+1+%2B+.05+%29%5E2+ ALIGN=MIDDLE  ALT=\"+500%2A%28+1+%2B+.05+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "After 3 years:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500%2A%28+1+%2B+.05+%29%5E2+%2B+.05%2A%28+500%2A%28+1+%2B+.05+%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+500%2A%28+1+%2B+.05+%29%5E2+%2B+.05%2A%28+500%2A%28+1+%2B+.05+%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500%2A%28+1+%2B+.05+%29%5E2+ ALIGN=MIDDLE  ALT=\"+500%2A%28+1+%2B+.05+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500%2A%28+1+%2B+.05+%29%5E2+%2A%28+1+%2B+.05+%29+ ALIGN=MIDDLE  ALT=\"+500%2A%28+1+%2B+.05+%29%5E2+%2A%28+1+%2B+.05+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500%2A%28+1+%2B+.05+%29%5E3+ ALIGN=MIDDLE  ALT=\"+500%2A%28+1+%2B+.05+%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "As you can see, the  formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500%2A%28+1+%2B+.05+%29%5En+ ALIGN=MIDDLE  ALT=\"+500%2A%28+1+%2B+.05+%29%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of years<BR>\n" );
document.write( "After <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > years,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+500%2A+1.05%5E10+ ALIGN=MIDDLE  ALT=\"+A+=+500%2A+1.05%5E10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+A+%29+=+log%28+500+%29+%2B+10%2Alog%28+1.05+%29+ ALIGN=MIDDLE  ALT=\"+log%28+A+%29+=+log%28+500+%29+%2B+10%2Alog%28+1.05+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+A+%29+=+2.6989+%2B+10%2A.02119+ ALIGN=MIDDLE  ALT=\"+log%28+A+%29+=+2.6989+%2B+10%2A.02119+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log+%28+A+%29+=+2.9108+ ALIGN=MIDDLE  ALT=\"+log+%28+A+%29+=+2.9108+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+10%5E2.9108+ ALIGN=MIDDLE  ALT=\"+A+=+10%5E2.9108+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+814.33+ ALIGN=MIDDLE  ALT=\"+A+=+814.33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 10 years, there is $814.33 in the account<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+814.33+=+500%2A1.05%5E10+ ALIGN=MIDDLE  ALT=\"+814.33+=+500%2A1.05%5E10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+814.33%2F500+=+1.05%5E10+ ALIGN=MIDDLE  ALT=\"+814.33%2F500+=+1.05%5E10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.629+=+1.629+ ALIGN=MIDDLE  ALT=\"+1.629+=+1.629+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );