Geometric Sequences Find the Common Ratio

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

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

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

A geometric sequence has a common ration(r) of 2 and the 13th term (a₁₃) is 36,864. What is the first term of the sequence (a₁)?

• 3

• 9

• 18

• 6

Tags

CCSS.HSF.BF.A.2

In a geometric sequence, the 4th term is -12 and the 5th term is -24. Find the common ratio.

• 2

• -2

Tags

CCSS.HSF.BF.A.2

A sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant called the common ratio (r).

• Arithmetic Sequence

• Geometric Sequence

• Harmonic Sequence

• Fibonacci Sequence

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CCSS.HSF.BF.A.2

which sequence has a common ratio of -2?

• 4, 8, 16, 32

• 4, -8, 16, -32

• 32, 16, 8, 4

• -32, 16, -8, 4

Tags

CCSS.HSF.BF.A.2

Tags

CCSS.HSF.BF.A.2

What is the next term in the geometric sequence 0.75, 3, 12, 48, ... ?

• 96

• 144

• 192

• 240

Tags

CCSS.HSF.BF.A.2