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Given the sequence 128, −32, 8… , which of the following statements is TRUE? *
A. The sequence is a geometric sequence with a common ratio of −4.
B. The sequence is an arithmetic sequence with a common difference of −4.
C. The sequence is a geometric sequence with a common ratio of -1/4.
D. The sequence is an arithmetic sequence with a common difference of -1/4

Respuesta :

Answer:

C

Step-by-step explanation:

Because the ratio between 128 and -32 is the same as the ratio between -32 and 8

Answer:

C

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-32}{128}[/tex] = - [tex]\frac{1}{4}[/tex]

r = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{8}{-32}[/tex] = - [tex]\frac{1}{4}[/tex]

Thus the sequence is geometric with common ratio r = - [tex]\frac{1}{4}[/tex]

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