Determine whether the sequence converges or diverges. If it converges, give the limit. 108, - 54, 27, - 27/2

Hello,

a (1) = 108

a (2) = a (1) / (-2) = - 54

a (3) = a (2) / (-2) = a (1) / (-2) ²=27

a (4) = a (3) / (-2) = a (1) / ((-2) ^3) = - 27/2

a (n) = a (1) / (-2) ^ (n-1) = 108 * (-1/2) ^ (n-1) (exponential decreasing)

lim if x->infinite (a (n)) = 0==> converges