Respuesta :
Answer:
g(n) = - 29 [tex](-4)^{n-1}[/tex]
Step-by-step explanation:
Given the recursive formula
g(n) = g(n - 1). - 4
This tells us that to obtain a term in the sequence we multiply the previous term by - 4.
We are dealing with a geometric sequence with explicit formula
g(n) = g(1) [tex](r)^{n-1}[/tex]
Here g(1) = - 29 and r = - 4, thus
g(n) = - 29 [tex](-4)^{n-1}[/tex] ← explicit formula
Answer:
an = -29(-4)^(n-1).
Step-by-step explanation:
There is a common ratio (r) of -4 so it is a geometric sequence.
The first term a1 = -29.
an = a1 r^(n-1)
an = -29(-4)^(n-1) is the explicit formula.
