# Arithmetic Sequence - Parking Garage

Hourly parking charges in a local garage form an arithmetic sequence.

It costs \$3.75 to park for 4 hours and \$5.25 to park for 6 hours.

How much does it cost to park for 1 hour?

### Comments for Arithmetic Sequence - Parking Garage

 Apr 03, 2013 Sequence by: Staff Answer Part I You can calculate the nth term of an arithmetic sequence using the following formula: an = a with a subscript of n (this is the nth term in the series) a₁ = a with a subscript of 1 (this is the 1st term in the series) n = number of terms d = difference between consecutive terms (the common difference) Calculate the common difference for each hour. a6 = 6 hour term (last term) = \$5.25 a4 = 4 hour term = \$3.75 d = difference between consecutive 1 hour terms (the common difference) = \$.75 The number of terms in the sequence = 6 (one term for each hour). Calculate a1, the 1 hour term (the first term in the sequence): --------------------------------------------------------

 Apr 03, 2013 Sequence by: Staff -------------------------------------------------------- Part II Final Answer: ------------------------------------------------- Check the answer You can calculate the last term (the cost of parking for 6 hours) using the formula. If the values of a₁, n, and d are correct, then the formula should calculate the last term to be \$5.25. a₁ = \$1.50 n = 6 d = \$.75 a6 = \$5.25 is correct (this is the 6 hour term given in the problem statement) Thanks for writing. Staff www.solving-math-problems.com