Geometric Explicit Formula to Exponential Equation

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

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

Sequence with a constant ratio between consecutive terms.

• 1. Common Ratio

• 1. Logarithm Base b

• 1. Growth/Decay Factor

• 1. Geometric Sequence

• 1. Natural Base

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CCSS.HSF.BF.A.2

• Explicit Definition (Geometric Sequence)

• Recursive Definition (Geometric Sequence)

• 1. Continuous Compound Interest Formula

• 1. Compound Interest Formula

• 1. Inverse Graphs are reflections across this line

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CCSS.HSF.BF.A.2

Write the equation that represents the table below:

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x

Tags

CCSS.HSF.LE.A.2

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

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CCSS.HSF.LE.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