Given:
maximum seating 76,867 fans
cost of tickets $161
revenue: f(x) = 161x
y = 161x
domain is the x values
range is the y values
using the formula: y = 161x where x = 76,867
y = 161(76,867)
y = 12,375,587
domain is 76,867
range is 12,375,587
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
^2
−
b
^2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
y
and
b
=
6
(
y
+
6
)
(
y
−
6
)
add 4 each time
the nth term is a_n or f(n)
the next term after that is a_{n+1} or f(n+1)
so each term is 4 more than previous
basically
a_{n+1}=4+a_n or
f(n+1)=4+f(n)
same thing
Four times the sum of n plus six