Respuesta :

Answer:

D

Step-by-step explanation:

The common difference d, between the terms is

d = - 9 - 3 = 3 - 15 = 15 - 27 = - 12

To find the next term in the sequence subtract 12 from the previous term

⇒ - 9 - 12 = - 21 ← is the next term in the sequence

The next term of the sequence after -9 is -21

What is an Arithmetic Sequence?

  • An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant term.
  • This constant term is called Common difference.
  • If the first term of a sequence is a and the common difference is d then the nth term can be written as a + (n-1)d

How to find what is the next number in the arithmetic sequence ?

  • The given sequence is 27, 15, 3, -9 and so on.
  • Common difference can be found by subtracting a term from its previous term.

∴ Common difference of the given problem = (15 - 27) = -12

∴ Each term of the sequence gets decreased by 12

∴ The term after -9 will be ( -9 - 12) = -21

Find out more about "Arithmetic Sequence" here : https://brainly.com/question/6561461

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