document.write( "Question 378038: Cory borrows $182 for school trip; agrees to pay parents back monthly; 1st month $2, 2nd $4, $6, $8, etc. How many months to pay back? \n" ); document.write( "
Algebra.Com's Answer #268579 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Cory borrows $182 for school trip; agrees to pay parents back monthly; 1st month $2, 2nd $4, $6, $8, etc. How many months to pay back?
\n" ); document.write( "-----
\n" ); document.write( "An arithmetic series: 2,4,6,8....24,26
\n" ); document.write( "---
\n" ); document.write( "Equation:
\n" ); document.write( "S(n) = (n/2)(1st + last)
\n" ); document.write( "182 = (n/2)(2+(n-1)2)
\n" ); document.write( "364 = n(2+2n-2)
\n" ); document.write( "364 = 2n^2
\n" ); document.write( "n^2 = 182
\n" ); document.write( "n = 13.49
\n" ); document.write( "Round up to n=14
\n" ); document.write( "Then n-1 = 13 weeks.
\n" ); document.write( "----
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );