Geometric Arithmetic Sequence

When the terms of a sequence differ by the same non zero  number it is called what kind of sequence?

• Algebraic

• Neither

• Geometric

• Arithmetic

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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

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

•  y = (125)(5)^(x)

•  y = 125(1/5)^(x)

•  y = 625(5)^(x)

•  y = 125 + 5x

Tags

CCSS.HSF.LE.A.2

What is the explicit rule for the sequence:
4, 12, 36, ...

• a_n = 4/3(3)ⁿ

• a_n = 4x3

• a_n = 2(3)ⁿ

Tags

CCSS.HSF.LE.A.2

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

• 2

• 1/2

• -14

• -7

Tags

CCSS.HSF.BF.A.2

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

Tags

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

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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