document.write( "Question 915764: complete the series 3/2,9/4,3,
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #555761 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\"a%5B2%5D-a%5B1%5D=9%2F4-3%2F2=9%2F4-6%2F4=3%2F4\"\r\n" );
document.write( "\"a%5B3%5D-a%5B2%5D=3-9%2F4=12%2F4-6%2F4=3%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "So it's an arithmetic sequence with \"d=3%2F4\" and \"a%5B1%5D=3%2F2\" \r\n" );
document.write( "\r\n" );
document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
document.write( "\r\n" );
document.write( "\"a%5Bn%5D=3%2F2%2B%28n-1%29%2Aexpr%283%2F4%29\"\r\n" );
document.write( "\r\n" );
document.write( "Clear of fractions by multiplying through by 4\r\n" );
document.write( "\r\n" );
document.write( "\"4a%5Bn%5D=6%2B%28n-1%293\"\r\n" );
document.write( "\r\n" );
document.write( "\"4a%5Bn%5D=6%2B3%28n-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"4a%5Bn%5D=6%2B3n-3=3%2B3n=3%281%2Bn%29\"\r\n" );
document.write( "\r\n" );
document.write( "Solve for an\r\n" );
document.write( "\r\n" );
document.write( "\"a%5Bn%5D=3%281%2Bn%29%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );