Question

the number of fish in a lake 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

Answer 1

The number of fish in the lake is an illustration of arithmetic sequence

The value of f(2) is 7800, and it represents the number of fish in the lake, the second year

The model is given as:

$\mathbf{f(n+1) = f(n) - 400}$

Where $\mathbf{f(1) = 8200}$

To calculate f(2), we simply take n as 1.

i.e. n = 1

Substitute 1 for n in $\mathbf{f(n+1) = f(n) - 400}$

So, we have:

$\mathbf{f(1+1) = f(1) - 400}$

Add 1 and 1

$\mathbf{f(2) = f(1) - 400}$

Substitute 8200 for f(1)

$\mathbf{f(2) = 8200 - 400}$

Subtract

$\mathbf{f(2) = 7800}$

Hence, the value of f(2) is 7800

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