document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986820>Question 986820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the sum of the first 14 terms for 1+4 +16 + 64+....     I need help on how to set this up and how to work it out and someone could walk me through this it would great  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607629 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=607629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1+4 +16 + 64+....\r<BR>\n" );
document.write( "\n" );
document.write( "number of terms = 16\r<BR>\n" );
document.write( "\n" );
document.write( "first term = 1\r<BR>\n" );
document.write( "\n" );
document.write( "we get the next term by multiplying by a factor of 4\r<BR>\n" );
document.write( "\n" );
document.write( "so 4 is called the common rato of the consecutive terms\r<BR>\n" );
document.write( "\n" );
document.write( "hence this is a geometric sequence\r<BR>\n" );
document.write( "\n" );
document.write( "the formula for sum of n terms of a geometric sequence is \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use this formula:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sn+=+a%2A%281-r%5En%29%2F%281-r%29 ALIGN=MIDDLE  ALT=\"Sn+=+a%2A%281-r%5En%29%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "a is the first term <BR>\n" );
document.write( "r is the \"common ratio\" between terms <BR>\n" );
document.write( "n is the number of terms \r<BR>\n" );
document.write( "\n" );
document.write( "Sum of  16 terms=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%281-4%5E16%29%2F%281-4%29 ALIGN=MIDDLE  ALT=\"1%281-4%5E16%29%2F%281-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "=1431655765\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );