Geometric Explicit Formula to Exponential Equation

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

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

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

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

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

• 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

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

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

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