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