samiiegarciia
samiiegarciia samiiegarciia
  • 19-02-2019
  • Mathematics
contestada

Identify the missing term in the following geometric sequence:
4, -2, 1, -1/2, 1/4

A. 1/8

B. -1/8

C. 1/16

D. -1/16

Respuesta :

MsRay
MsRay MsRay
  • 19-02-2019

Answer:

B. -1/8

Step-by-step explanation:

Using the terms given in the sequence:

4, -2, 1, -1/2, 1/4

we can find the pattern by dividing since it is a geometric seqence:

-2/4 = -1/2

1/-2 = -1/2

-1/2 ÷ 1 = -1/2

So, each term is multiplied by -1/2 to get the next term in the sequence:

[tex]\frac{1}{4}*-\frac{1}{2}=-\frac{1}{8}[/tex]

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