Find the Term of the Geometric Sequence

Now we will look at our OTHER type of sequence... We know arithmetic sequences have an adding pattern... Well GEOMETRIC sequences have a MULTIPLYING pattern. Given the sequence 3, 6, 12, 24, ..., what is the common ratio? Hint: A common ratio is the sequence's multiplier.

• 2

• 4

• 6

• 8

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CCSS.HSF.BF.A.2

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

Given the geometric sequence 80, 40, 20, 10, ..., write an explicit formula.

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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

Given the sequence: 125, 25, 5, .... Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

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CCSS.HSF.BF.A.2

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098

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CCSS.HSF.BF.A.2

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

• 384

• 768

• 1,536

• 27

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CCSS.HSF.BF.A.2

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4

• 3

• 2

• 6

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CCSS.HSF.BF.A.2