Explicit Form Geometric

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

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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

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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

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CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 162(2/3)^n-1

• a_n = (2/3)(162)^n-1

• a_n = 162(3/2)^n-1

• a_n = 162 + (n-1)(-54)

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CCSS.HSF.BF.A.2

Find an explicit rule for the nth term of the sequence.

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1

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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

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CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

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CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

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CCSS.HSF.BF.A.2