Respuesta :
Answer:
[tex]f(n) = f(n - 1) - 13[/tex]
Step-by-step explanation:
The given sequence is 94, 81, 68, 55, …
We can observe that, there is a constant difference among the subsequent terms:
[tex]d = 81 - 94 = - 13[/tex]
The sequence is therefore an arithmetic sequence with first term:
[tex]f(1) = 94[/tex]
The recursive formula is given by;
[tex]f(n) = f(n - 1) + d[/tex]
We just have to plug in d=-13 to get:
[tex]f(n) = f(n - 1) - 13[/tex]