document.write( "Question 1147255: the 12th term of an A.P is -41. given that the first term is 3,find the 20th term \n" ); document.write( "
Algebra.Com's Answer #768573 by ikleyn(52884)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The distance between \"a%5B1%5D\" and \"a%5B12%5D\" is given as 41+3 = 44.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "There are 11 gaps between these terms, each gap is of the same length, equal to the modulus of the common difference.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the gap is \"44%2F11\" = 4 units, and the common difference is  -4 units.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the 20-th term is  3 + 19*(-4) = -73.      ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );