Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable.

An+1=4An7

What is the equilibrium value?

a=enter your response here

(Type an integer or a simplified fraction.)

Is the equilibrium value stable or unstable?

A.

The equilibrium value is stable because the coefficient of

An

is less than

1.

B.

The equilibrium value is unstable because the coefficient of

An

is less than

1.

C.

The equilibrium value is stable because the coefficient of

An

is greater than 1.

D.

The equilibrium value is unstable because the coefficient of

An

is greater than 1.