(a) = 4n + 8
(b) row 13 has 60 seats
(a)
the sequence of seats is an arithmetic sequence whose n th term is
=
+ (n - 1 )d
where is the first term and d the common difference
here the sequence is 12, 16, ....
with = 12 and d = 16 - 12 = 4, thus
= 12 + 4( n - 1 ) = 12 + 4n - 4 = 4n + 8
(b)
calculate the number of rows n when 60 seats
solve 4n + 8 = 60 ( subtract 8 from both sides )
4n = 52 ( divide both sides by 4 )
n = 13 ← number of rows
Answer:
Step-by-step explanation:
By definition, the perimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
If you solve for "l":
In this case, you know that the following expression represents the perimeter of the rectangle:
And the width of that rectanle is represented wih this expression:
Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:
Finally, simplifying the expression, you get: