Algebra 1 - 7.8 Geometric Sequences

Find the common ratio of the geometric sequence.

4, 12, 36, 108, . . .

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CCSS.HSF.BF.A.2

Find the common ratio of the geometric sequence.

3/8, −3, 24, −192, . . .

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CCSS.HSF.BF.A.2

Find the common ratio of the geometric sequence.

128, 96, 72, 54, . . .

• 4/3

• 3/4

• 2/3

• 3/2

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CCSS.HSF.BF.A.2

Determine whether the sequence is arithmetic, geometric, or neither.

−8, 0, 8, 16, . . .

• Arithmetic

• Geometric

• Neither

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CCSS.HSF.BF.A.2

Determine whether the sequence is arithmetic, geometric, or neither.

9, 14, 20, 27, . . .

• Arithmetic

• Geometric

• Neither

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CCSS.HSF.BF.A.2

Determine whether the sequence is arithmetic, geometric, or neither.

192, 24, 3, 3/8, . . .

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Find the next three terms:

-4, -12, -36, -108, ...

• 36, -108, 324

• -324, -972, -2916

• 324, -972, 2916

• -108, 324, -972

Tags

CCSS.HSF.BF.A.2

Find the next three terms:

512, 256, 128,. . .

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2

Write an equation for the nth term of the geometric sequence:
3, 6, 12, 24, ...

•  $a_n=3\left(2\right)^{n-1}$  

•  $a_n=2\left(3\right)^{n-1}$  

•  $a_n=3\left(2\right)^n$  

•  $a_n=2\left(3\right)^n$  

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CCSS.HSF.BF.A.2

Write an equation for the nth term of the geometric sequence:
500, 100, 20, 4, ...

•  $a_n=4\left(\frac{1}{5}\right)^{n-1}$  

•  $a_n=4\left(5\right)^{n-1}$  

•  $a_n=500\left(5\right)^{n-1}$  

•  $a_n=500\left(\frac{1}{5}\right)^{n-1}$  

Tags

CCSS.HSF.BF.A.2