Answered

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The number of fish in a lake is decreasing by 400 every year, as described by the function below.

f
(
1
)
=
8200
f
(
n
+
1
)
=
f
(
n
)
−
400
What will be the value of
f
(
5
)
?

Sagot :

Using the recursive function given, it is found that f(5) = 6600.

The function given is:

[tex]f(n + 1) = f(n) - 400[/tex]

[tex]f(1) = 8200[/tex]

To find f(5), we keep applying the function until [tex]n + 1 = 5[/tex], hence:

f(2) is f(1) subtracted by 400

[tex]f(2) = f(1) - 400 = 8200 - 400 = 7800[/tex]

f(3) is f(2) subtracted by 400

[tex]f(3) = f(2) - 400 = 7800 - 400 = 7400[/tex]

f(4) is f(3) subtracted by 400

[tex]f(4) = f(3) - 400 = 7400 - 400 = 7000[/tex]

f(5) is f(4) subtracted by 400

[tex]f(5) = f(4) - 400 = 7000 - 400 = 6600[/tex]

Hence, the result is f(5) = 6600.

A similar problem is given at https://brainly.com/question/21245344

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