The given sequence is not an arithmetic sequence because the difference between consecutive terms is not the same.
To determine if it is a geometric sequence, we can check if the ratio of consecutive terms is the same.
Ratio of 8 to -4 is -2.
Ratio of -16 to 8 is -2.
Ratio of 32 to -16 is -2.
Thus, the sequence is a geometric sequence with a common ratio of -2.
Therefore, the answer is (B) geometric, –64, 128, –256.
–4, 8, –16, 32, . . .
A. arithmetic, 64, 128, 256
B. geometric, –64, 128, –256
C. geometric, –48, 64, –80
D. The sequence is neither geometric nor arithmetic.
1 answer