document.write( "Question 1107256: 3;5;11;21
\n" ); document.write( "Determine the value of the 48th term
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #722286 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
differences between them are 2, 6, 10
\n" ); document.write( "differences between THOSE ARE 4 4
\n" ); document.write( "When two iterations are needed, this is n^2 and a QUADRATIC SEQUENCE
\n" ); document.write( "the coefficient of the square term is half of the difference or 2, so 2n^2
\n" ); document.write( "Now make a table\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---n--n^2--2n^2 difference between original and 2n^2-----2n^2-4n+5
\n" ); document.write( "3--1 1 2 1 3
\n" ); document.write( "5--2 4 8 -3 5
\n" ); document.write( "11-3 9 18 - 7 11
\n" ); document.write( "21-4 16 32 -11 21
\n" ); document.write( "Those differences form an arithmetic series of -4n+5\r
\n" ); document.write( "\n" ); document.write( "The sequence is 2n^2-4n+5
\n" ); document.write( "the 48th term is 2(48)^2-48(4)+5=4421 ANSWER
\n" ); document.write( " \n" ); document.write( "
\n" );