document.write( "Question 938886: Because Stephanie wanted to win the Berryville bicycle race she trained hard for a week including the weekend. Each day she rode 3 miles more than the previous day. If she rode a total of 126 miles, then how far did she ride the day before the race? Include an algebraic equation to support your reasoning. \n" ); document.write( "
Algebra.Com's Answer #572037 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Because Stephanie wanted to win the Berryville bicycle race she trained hard for a week including the weekend. Each day she rode 3 miles more than the previous day. If she rode a total of 126 miles, then how far did she ride the day before the race? Include an algebraic equation to support your reasoning. \n" ); document.write( "---------------- \n" ); document.write( "Arithmetic sequence with a(1) = 3 and S(7) = 126 \n" ); document.write( "--------- \n" ); document.write( "S(7) = (7/2)(3+a(n)) = 126 \n" ); document.write( "------------------ \n" ); document.write( "(1/2)(3+a(n)) = 18 \n" ); document.write( "----- \n" ); document.write( "3 + a(n) = 36 \n" ); document.write( "a(n) = 33 (distance she rode on the 7th day) \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |