Graded Practice for Geometric Quiz

Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4

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CCSS.HSF.BF.A.2

Is the sequence 2, 4, 12, 48,... geometric?

• yes

• no

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CCSS.HSF.BF.A.2

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence 7, -7, 7, -7

• a_n = 7(1)ⁿ

• a_n = 7(-1)ⁿ

• a_n = 7(-1)^n-1

• a_n = -1(7)^n-1

Tags

CCSS.HSF.BF.A.2

What does r represent?

• Radical

• Common difference

• Common ratio

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CCSS.HSF.BF.A.2

What does a₁ represent?

• Any term

• First term

• Last term

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CCSS.HSF.BF.A.2

Find the 10th term if a₁=13 and the common ratio is 2

• 9

• 6656

• 13312

• 26

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CCSS.HSF.BF.A.2

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

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CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence 10, 20, 40, 80

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Find the first five terms and common ratio using a recursive formula

a_n=a_n-1(2) a₁=2

• r=4

  32,16,8,4,2

• r=4

  2,4,8,16,32

• r=2

  32,16,8,4,2

• r=2

  2,4,8,16,32

Tags

CCSS.HSF.BF.A.2