Asked by sara
Mathematical sequences can be used to model real life applications. Suppose you want to construct a movie theater in your town. The number of seats in each row can be modeled by the formula C_n = 16 + 4n, when n refers to the nth row, and you need 50 rows of seats.
(a) Write the sequence for the number of seats for the first 5 rows
(b) How many seats will be in the last row?
(c) What will be the total number of seats in the theater?
(a) Write the sequence for the number of seats for the first 5 rows
(b) How many seats will be in the last row?
(c) What will be the total number of seats in the theater?
Answers
Answered by
MathMate
a.
C(n)=16+4n
C(1)=16+4(1)=20
C(2)=16+4(2)=24
...
C(5)=16+4(5)=36
b.
C(50)=16+4(50)=?
c.
50
∑ C(i)
i=1
50
∑ 16+4i
i=1
16(50)+4sum(i)
=800 + 4[ 50(1+50)/2 ]
= 800+4(1275)
= 5900
C(n)=16+4n
C(1)=16+4(1)=20
C(2)=16+4(2)=24
...
C(5)=16+4(5)=36
b.
C(50)=16+4(50)=?
c.
50
∑ C(i)
i=1
50
∑ 16+4i
i=1
16(50)+4sum(i)
=800 + 4[ 50(1+50)/2 ]
= 800+4(1275)
= 5900
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