Question

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

Answer 1

Wouldnt it be -1?
-4+3=-1

Answer 2

`a_(1+1)= a_2 = -4 + 3 = -1`

So the second term of the sequence is -1

Explanation:

For this case the nth term of the sequence is given by:

`f(n+1) = f(n) +3`

And we can also write this like:
`a_(n+1) = a_n +3`

And we know that
`a_1 = -4`

And we are interested in find
`a_2` so we just need to replace n=1 into the original formula and we got:

`a_(1+1)= a_2 = -4 + 3 = -1`

So the second term of the secuence is -1