Respuesta :

Answer:

Step-by-step explanation:

The recursive rule is given by;

a = r .an-1 where n is the number of terms.

Given the sequence: -64, -16, -4 , -1, ....

This sequence is a geometric sequence with common ratio (r) = 1/4

Here, first term a1 = -64

Since,

\frac{-16}{-64} = \frac{1}{4}

\frac{-4}{-16} = \frac{1}{4} and so on....

The recursive rule for this sequence is;

an = 1/4*an-1