The common ratio of the given sequence is -1/4. In a geometric sequence, the common ratio is the value that is in between each number in the sequence.
The ratio of the value of a term in the sequence to the value of the previous term in the sequence is said to be the common ratio. I.e.,
C.R = (nth term)/(n - 1)th term
The given sequence is 64, -16, 4, -1, ...
Taking the ratio of the second term to the first term, we get
-16/64 = -1/4
Similarly, the ratio of the third term to the second term,
4/16 = -1/4
Since the ratios are equal, then the common ratio of the sequence is -1/4.
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