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.
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a)
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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) (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