document.write( "Question 266760: If someone could please help me with this problem, it would be greatly appreciated!\r
\n" ); document.write( "\n" ); document.write( "I have to find the sum of the geometric sequence
\n" ); document.write( "\"1%2F6\", \"1%2F18\", ... \"1%2F486\"\r
\n" ); document.write( "\n" ); document.write( "This is what I have so far:\r
\n" ); document.write( "\n" ); document.write( "r=(1/3)\r
\n" ); document.write( "\n" ); document.write( "\"+%281%2F486%29+=+%281%2F6%29%2A%281%2F3%29%5En-1+\"
\n" ); document.write( "(it's supposed to be (n-1))
\n" ); document.write( "from this I got n=5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+%281%2F6%29%2A%281-%281%2F3%29%5E5%29+%2F+%281-%281%2F3%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"+%281%2F6%29%2A%281-%281%2F243%29%29+%2F+%282%2F3%29+\"\r
\n" ); document.write( "\n" ); document.write( "As elementary as this is, I need help finding the sum and understanding the process(es) of how to work this equation when fractions are in the mix. (That is, unless I've made mistakes prior to getting to this point.)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #195951 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
If someone could please help me with this problem, it would be greatly appreciated!\r
\n" ); document.write( "\n" ); document.write( "I have to find the sum of the geometric sequence
\n" ); document.write( "\"1%2F6\", \"1%2F18\", ... \"1%2F486\"\r
\n" ); document.write( "\n" ); document.write( "This is what I have so far:\r
\n" ); document.write( "\n" ); document.write( "\"r=1%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"+1%2F486+=+%281%2F6%29%2A%281%2F3%29%5E%28n-1%29+\"
\n" ); document.write( "(it's supposed to be (n-1))
\n" ); document.write( "from this I got n=5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+%281%2F6%29%2A%281-%281%2F3%29%5E5%29+%2F+%281-%281%2F3%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"+%281%2F6%29%2A%281-%281%2F243%29%29+%2F+%282%2F3%29+\"\r
\n" ); document.write( "\n" ); document.write( "As elementary as this is, I need help finding the sum and understanding the process(es) of how to work this equation when fractions are in the mix. (That is, unless I've made mistakes prior to getting to this point.)
\n" ); document.write( "
\r\n" );
document.write( "You're doing fine.  Now change the division by \"2%2F3\"\r\n" );
document.write( "to a multiplication by \"3%2F2\"  [Invert and multiply]\r\n" );
document.write( "\r\n" );
document.write( "\"+%281%2F6%29%2A%281-1%2F243%29%2A+%283%2F2%29+\"\r\n" );
document.write( "\r\n" );
document.write( "change the 1 to \"243%2F243\"\r\n" );
document.write( "\r\n" );
document.write( "\"+%281%2F6%29%2A%28243%2F243-1%2F243%29%2A+%283%2F2%29+\"\r\n" );
document.write( "\r\n" );
document.write( "\"+%281%2F6%29%2A%28242%2F243%29%2A+%283%2F2%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Now you should be able to handle that with some\r\n" );
document.write( "cancelling.  You should end up with \r\n" );
document.write( "\r\n" );
document.write( "\"121%2F486\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );