document.write( "Question 1142569: the 7th term of an arithmetic sequence is 1/2 and the 14th term is
\n" ); document.write( "6 what is the 10th term? \n" ); document.write( "
Algebra.Com's Answer #763244 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "__,__,__,__,__,__,1/2,__,__,??,__,__,__,__,__, 6,__,...\r\n" );
document.write( "\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( "\r\n" );
document.write( "\"a%5B7%5D=a%5B1%5D%2B%287-1%29d\"\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F2=a%5B1%5D%2B6d\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"a%5B14%5D=a%5B1%5D%2B%2814-1%29d\"\r\n" );
document.write( "\r\n" );
document.write( "\"6=a%5B1%5D%2B13d\"\r\n" );
document.write( "\r\n" );
document.write( "So we have the system:\r\n" );
document.write( "\r\n" );
document.write( "\"system%286=a%5B1%5D%2B13d%2C1%2F2=a%5B1%5D%2B6d%29\"\r\n" );
document.write( "\r\n" );
document.write( "Solve for a1 in one of the equations and\r\n" );
document.write( "substitute in the other to find d.  Then find d by \r\n" );
document.write( "substituting in the equation you got when you solved \r\n" );
document.write( "for d.  Then substitute the values n=10, along with \r\n" );
document.write( "what you got for a1 and d.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );