SOLUTION: The number of seats in the first 12 rows of a high school auditorium from an arithmetic sequence. The first row has 9 seats. The second row has 11 seats. Show all work. a)

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Question 851700: The number of seats in the first 12 rows of a high school auditorium from an arithmetic sequence. The first row has 9 seats. The second row has 11 seats.
Show all work.


a) Write a recursive formula to represent the sequence.
b) Write an explicit formula to represent the sequence.
c) How many seats are in the 12th row?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
The number of seats in the first 12 rows of a high school auditorium from an arithmetic sequence. The first row has 9 seats. The second row has 11 seats.
Show all work.
a) Write a recursive formula to represent the sequence.
b) Write an explicit formula to represent the sequence.
c) How many seats are in the 12th row?
an = a1 + (n - 1)d
a12 = 9 + 2(11)
a12=31 seats in the 12th row
an = 9 + 2(n - 1)
An=9+2n-2
An=2n+7 explicit
an = a(n-1) + 2 recursive