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

Answer:

$a_{1+1}= a_2 = -4 + 3 = -1$

So the second term of the sequence is -1

Step-by-step 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