Question

G(1) = -29 g(n) = g(n-1).(-4) Find an explicit formula for g(n). g(n) =

Answer 1

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.

Answer 2

Answer:

g(n) = - 29 $(-4)^{n-1}$

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) $(r)^{n-1}$

Here g(1) = - 29 and r = - 4, thus

g(n) = - 29 $(-4)^{n-1}$ ← explicit formula