Solving Geometric Sequences

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

• yes
• no

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

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CCSS.HSF.BF.A.2

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

Find the common ratio: 64, -16, 4, -1, ...

• r = -8
• r = -1/4
• r = -4
• r = 4

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CCSS.HSF.BF.A.2

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

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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

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

Which formula is used to find the recursive 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

What is the recursive rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x 2
• a_n = 11(2)^n-1
• a_n = 2a_n-1

Tags

CCSS.HSF.BF.A.2

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

•  t(n) = (125)(5)⁽ⁿ⁾
•  t(n) = 625(1/5)⁽ⁿ⁾
•  t(n) = 625(5)⁽ⁿ⁾
•  t(n) = 125 + 5n

Tags

CCSS.HSF.BF.A.2