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

F(1)  = - 4

second term  = f(1) + 3 = -4 + 3  = -1

Answer 2

Answer:

the next term is -1

Step-by-step explanation:

A sequence is defined recursively by the formula

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

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

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

$f(1 + 1) = f(1) + 3$

f(1) is -4

$f(1 + 1) = -4 + 3$

$f(12) =-1$

So the next term is -1