Recursive Explicit Formula Exponential Functions

The Geometic sequence is related to:

• A. Slope

• B. Quadratic Functions

• C. Exponential Functions

• D. Parabolas

The Geometric sequence is related to:

• Linear Functions

• Quadratic Functions

• Exponential Functions

• Parabolas

A sequence formula that requires you to know the value of the previous term in order to calculate the next term is a/an _________ formula

• Explicit

• Recursive

• Quadratic

• Exponential

A sequence formula that allows you to calculate any term without knowing the value of the previous term is a/an _________ formula

• Explicit

• Recursive

• Quadratic

• Exponential

The recursive equation for the function is:

• f(1) = 10

  f(x) = f(x - 1) * 2

• f(0) = 5

  f(x) = f(x - 1) + 5

• f(0) = 5

  f(x) = f(x - 1) * 2.5

• f(0) = 2.5

  f(x) = f(x - 1) * 2

A sequence can be generated by using a_n = 5a_(n-1)

where a₁ = 3

and n is a whole number greater than 1.

What are the first three terms in the sequence?

• 3, 15, 45

• 5, 8, 11

• 5, 15, 45

• 3, 15, 75

Is the table linear, exponential, Quadratic, or none of these?

• Linear

• Exponential

• Quadratic

• None of these

A population of tadpoles is growing in a swampy pond. The number of tadpoles in the pond each day is shown in the table.

Which type of function best fits the data?

Write an equation for the function (round as appropriate)

If this pattern continues, how many tadpoles will be in the pond on Day 15?

Write the explicit formula for the following geometric sequence: 10, 20, 40, 80, ...

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

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