To find the next term in the sequence, let's analyze the given information and use the recursive formula provided.
The sequence is defined by:
[tex]\[ f(n+1) = f(n) + 3 \][/tex]
And we know that the first term of the sequence is:
[tex]\[ f(1) = -4 \][/tex]
We need to find the second term of the sequence, which is [tex]\( f(2) \)[/tex].
According to the recursive definition:
[tex]\[ f(n+1) = f(n) + 3 \][/tex]
By substituting [tex]\( n = 1 \)[/tex]:
[tex]\[ f(2) = f(1) + 3 \][/tex]
We already know [tex]\( f(1) = -4 \)[/tex]:
[tex]\[ f(2) = -4 + 3 \][/tex]
Finally, performing the addition:
[tex]\[ f(2) = -1 \][/tex]
Therefore, the next term in the sequence is:
[tex]\[
\boxed{-1}
\][/tex]
