document.write( "Question 922031: Okay, so I'm having issues on how to find the nth term.. I know how to solve for the sum, which is what it wants me to do, but most of them dont give you the nth term.
\n" ); document.write( "Please explain what you did in each step? THANKS!!!!!\r
\n" ); document.write( "\n" ); document.write( "Calculate the sums of these series.
\n" ); document.write( "1.) \"+3%2F10+%2B+3%2F100+%2B+3%2F1000+%2B+3%2F10000+%2B+.+.+.+\"\r
\n" ); document.write( "\n" ); document.write( "2.) this one scared me. I dont even think i know how to solve for the sum of this \"+1+%2B+4%2F5+%2B+%284%2F5%29%5E2+%2B+%284%2F5%29%5E3+%2B+%284%2F5%29%5E4+%2B+.+.+.+\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #559452 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Okay, so I'm having issues on how to find the nth term.. I know how to solve for the sum, which is what it wants me to do, but most of them dont give you the nth term.
\n" ); document.write( "Please explain what you did in each step? THANKS!!!!!\r
\n" ); document.write( "\n" ); document.write( "Calculate the sums of these series.
\n" ); document.write( "1.) \"+3%2F10+%2B+3%2F100+%2B+3%2F1000+%2B+3%2F10000+%2B+.+.+.+\"\r
\n" ); document.write( "\n" ); document.write( "2.) this one scared me. I dont even think i know how to solve for the sum of this \"+1+%2B+4%2F5+%2B+%284%2F5%29%5E2+%2B+%284%2F5%29%5E3+%2B+%284%2F5%29%5E4+%2B+.+.+.+\"
\n" ); document.write( "1.
\n" ); document.write( "
This is clearly a geometric sequence. This is seen when the 2nd term is divided by the 1st
\n" );
document.write( "term, and the 3rd term is divided by the 2nd term, and a common ratio (r) of \"1%2F10\" is obtained
\n" );
document.write( "\"%283%2F100%29%2F%283%2F10%29\"_____\"3%2F100\"÷\"3%2F10\"_______\"%283%2F100%29+%2A+%2810%2F3%29\"______\"1%2F10\"
\n" );
document.write( "\"%283%2F1000%29%2F%283%2F100%29\"____\"3%2F1000\"÷\"3%2F100\"_____\"%283%2F1000%29+%2A+%28100%2F3%29\"____\"1%2F10\"
\n" );
document.write( "As seen, r, or the common ratio is: \"1%2F10+\"
\n" );
document.write( "\"a%5Bn%5D+=+a%5B1%5Dr%5E%28n-1%29\", so nth term is:
\n" );
document.write( "\"highlight_green%28highlight_green%28a%5Bn%5D+=+%283%2F10%29%2A%281%2F10%29%5E%28n-1%29%29%29\"
\n" );
document.write( "2.
\n" );
document.write( "This is clearly a geometric sequence. This is seen when the 2nd term is divided by the 1st
\n" );
document.write( "term, and the 3rd term is divided by the 2nd term, and a common ratio (r) of \"4%2F5\" is obtained
\n" );
document.write( "\"%284%2F5%29%5E1%2F%284%2F5%29%5E0\"____\"%284%2F5%29%2F1\"____\"4%2F5\"÷\"1\"_____\"4%2F5\"
\n" );
document.write( "\"%284%2F5%29%5E2%2F%284%2F5%29%5E1\"____\"%2816%2F25%29%2F%284%2F5%29\"____\"16%2F25\"÷\"4%2F5\"_____\"%2816%2F25%29+%2A+%285%2F4%29\", or \"4%2F5\"
\n" );
document.write( "As seen, r, or the common ratio is: \"4%2F5\" 
\n" );
document.write( "\"a%5Bn%5D+=+a%5B1%5Dr%5E%28n-1%29\", so nth term is: 
\n" );
document.write( "\"highlight_green%28highlight_green%28a%5Bn%5D+=+%284%2F5%29%5E%28n-1%29%29%29\"\r
\n" );
document.write( "\n" );
document.write( "You need to provide the NUMBER of terms, or the value of the last term in order for the SUM of each GP to be calculated. \n" );
document.write( "
\n" );