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What is the growth factor of each geometric sequence?
a.
1,1,1,1,1
b.
256, 128, 64
c.
18, 54, 162
d.
0.8, 0.08, 0.008
e.
0.008, 0.08, 0.8

Respuesta :

Answer:

Step-by-step explanation:

1,1,1,1,1                          *1    Multiply by 1

.

256, 128, 64            * 1/2    divide into 2

18, 54, 162               *3    Multiply by 3

0.8, 0.08, 0.008     * 1/10      Divide into 10

e.

0.008, 0.08, 0.8      *10    Multiply by 10

For each sequence, the growth factors are:

  • a) 1
  • b) 0.5
  • c) 3
  • d) 0.1
  • e) 10

To find the growth factor of each sequence, we divide each term by it's previous term.

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Question a:

[tex]\frac{1}{1} = \frac{1}{1} = 1[/tex]

The growth factor of the sequence is 1.

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Question b:

[tex]\frac{64}{128} = \frac{128}{256} = 0.5[/tex]

The growth factor of the sequence is 0.5.

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Question c:

[tex]\frac{162}{54} = \frac{54}{18} = 3[/tex]

The growth factor of the sequence is 3.

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Question d:

[tex]\frac{0.008}{0.08} = \frac{0.08}{0.8} = 0.1[/tex]

The growth factor of the sequence is 0.1.

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Question e:

[tex]\frac{0.8}{0.08} = \frac{0.08}{0.008} = 10[/tex]

The growth factor of the sequence is 10.

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