Respuesta :

Looking at the table, we can see that when the value of h increases, the value of f(h) decreases.

Let's find the difference between each pair of consecutive values of f(h):

[tex]\begin{gathered} f(2)-f(1)=3140-3860=-720\\ \\ f(3)-f(2)=2420-3140=-720\\ \\ f(4)-f(3)=1700-2420=-720 \end{gathered}[/tex]

The difference between a value f(h+1) and the previous value f(h) is always equal to -720.

Therefore we can write the following equation:

[tex]\begin{gathered} f(h+1)-f(h)=-720\\ \\ f(h+1)=f(h)-720 \end{gathered}[/tex]

So the correct option is the fourth one.