SOLUTION: 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 t
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: 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 t
Log On
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. Answer by stanbon(75887) (Show Source):
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.
----------------
Arithmetic sequence with a(1) = 3 and S(7) = 126
---------
S(7) = (7/2)(3+a(n)) = 126
------------------
(1/2)(3+a(n)) = 18
-----
3 + a(n) = 36
a(n) = 33 (distance she rode on the 7th day)
------------
Cheers,
Stan H.
(