Answer:
the next term is -1
Step-by-step explanation:
A sequence is defined recursively by the formula
[tex]f(n + 1) = f(n) + 3[/tex]
The first term of the sequence is –4.
When n=1 then f(1)=-4
Now we find out the next term
We need to find f(2)
To find f(2) plug in 1 for n in the recursive formula
[tex]f(n + 1) = f(n) + 3[/tex]
[tex]f(1 + 1) = f(1) + 3[/tex]
f(1) is -4
[tex]f(1 + 1) = -4 + 3[/tex]
[tex]f(12) =-1[/tex]
So the next term is -1
