Which recursive formula can be used to generate the sequence shown. Where f(1)=5 an n >1?

f(n+1) = f(n) - 6

Step-by-step explanation:

Assume your sequence is

5, –1, –7, –13, –19, …  

A recursive formula defines each term of a sequence using the preceding term.

For your sequence,

f(1)  =   5

f(2) =  -1

f(3) =  -7

f(4) = -13

f(5) = -19

We see that

f(2) - f(1)   =   -1 -   5   = -6

f(3) - f(2)  =  -7 -  (-1)  = -6

f(4) - f(3)  = -13 -  (-7) = -6

f(5) - f(4)  = -19 - (-13) = -6

Each term is six units less than the preceding term.

The repeating pattern (recursive formula) is

f(n + 1) - f(n) - 6  or

f(n+ 1) = f(n) - 6

step-by-step explanation: