A1 3.1 Geometric Sequences, explicit formula

Find the next three terms for the geometric sequence:
64, 16, 4,...

• 0, -4, -8
• 1, ¼, 1/16
• 1, -3, -7
• cannot be determined

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CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence:
64, 16, 4,...

• 4
• -4
• ¼
• -¼

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CCSS.HSF.BF.A.2

Find the next three terms for the geometric sequence:
2, -12, 72, ...

• 432, 2592, 15,552
• -432, 2592, -15,552
• 3672, 25,272, 154,872
• cannot be determined

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CCSS.HSF.BF.A.2

Determine the common ratio for the geometric sequence:
2, -12, 72, ...

• 6
• -⅙
• -6
• ⅙

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CCSS.HSF.BF.A.2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

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CCSS.HSF.BF.A.2

Find a₁₂ for the rule a_n = 6(2)^n-1

• 4096
• 24,576
• 2048
• 12,288

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CCSS.HSF.BF.A.2

Given the rule:  a_n = 7(½)^n-1
Identify the common ratio.

• a_n
• 7
• ½
• n-1

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CCSS.HSF.BF.A.2

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r multiply by the common ratio r

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CCSS.HSF.BF.A.2

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

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CCSS.HSF.BF.A.2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

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CCSS.HSF.BF.A.2