The terms in a sequence can be found using the recursive rule f(n)=f(n-1)-2. Fill in the missing terms. 3,(blank), -1, (blank)The blank is what needs to be replaced and filled out. Please help!

Respuesta :

The recursive formula is given by

[tex]f(n)=f(n-1)-2[/tex]

Now let

[tex]f(n-1)=3[/tex]

Then

[tex]f(n)=f(n-1)-2\Rightarrow f(n)=3-2\Rightarrow f(n)=1[/tex]

And let

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

Then

[tex]f(n)=f(n-1)-2\Rightarrow f(n)=-1-2\Rightarrow-3[/tex]

So the answer is 3,1,-1,-3