Respuesta :

Answer:

-2

Step-by-step explanation:

-96 / 48 = -2

48/-24 = -2

-24/12 = -2

12 / -6 = -2

If the numbers are alternating between positive and negative, the common ratio is negative.

To find the common ratio of a geometric sequence, you divide any two terms in the sequence.

KlareMontefalco

COMMON RATIO

ANSWER:

  • The common ratio (r) is -0.5 or -½.

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In order to get the common ratio, divide any term of geometric sequence to its preceding term.

[tex]r = \frac{any \: term}{preceding \: term \: } \: {\bold{or}} \: \: \boxed{r = \frac{ a_{2}}{a_{1} }} [/tex]

Substitute the given term and its preceding term to our equation, we get:

  • [tex]{r = \frac{ a_{2}}{a_{1} }} \: \to \: \: \bold{\frac{48}{ - 96} = \boxed{- 0.5 }}[/tex]

Thus, the answer in your question is -0.5 or -½.

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