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)
Algebra.Com
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
RELATED QUESTIONS
Please help me with this question!!!! The number of seats in the first 12 rows of a high... (answered by richwmiller)
Please help!!!!! The number of seats in the first 12 rows of a high school auditorium... (answered by richwmiller)
The numbers of seats in the first 12 rows of a high school auditorium form an arithmetic... (answered by ramkikk66)
the numbers of seats in the first 12 row of a high school auditorium form an aritmetic... (answered by Herdaysoji)
an auditorium has 50 rows of seats. There are 8 seats in the first row, 10 seats in the... (answered by josmiceli)
The Land O’ Lakes High School auditorium has exactly 26 rows of seats. The rows are... (answered by Boreal,math_helper,rothauserc)
An auditorium has 20 seats in the first row, 24 seats in the second row, 28 seats in the... (answered by math_tutor2020,Alan3354)
An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the... (answered by richwmiller)
An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the... (answered by addingup,ikleyn,MathTherapy)