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

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.
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Arithmetic sequence with a(1) = 3 and S(7) = 126
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S(7) = (7/2)(3+a(n)) = 126
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(1/2)(3+a(n)) = 18
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3 + a(n) = 36
a(n) = 33 (distance she rode on the 7th day)
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Cheers,
Stan H.

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