Unit 4 Lesson 13

What are the sequence values from the graph?

• (1, 2, 3, 4)

• (5, 10, 20, 40)

Answer explanation

Points are listed as (x, y) pairs

Sequence values are y-values

We list numbers after comma

5, 10, 20, 40, ...

What is the sequence range?

• (-ꝏ, ꝏ)

• 5, 10, 20, 40, ...

• (1, ꝏ)

• (5, ꝏ)

• 1, 2, 3, 4, ...

Answer explanation

Range is a (y, y) pair

The lowest y to highest y

5, 10, 20, 40, ...

What is the sequence domain?

• (-ꝏ, ꝏ)

• 5, 10, 20, 40, ...

• (1, ꝏ)

• (5, ꝏ)

• 1, 2, 3, 4, ...

Answer explanation

Domain is an (x, x) pair

The lowest x to highest x

5, 10, 20, 40, ...

What is the sequence common ratio?

Mathematical Equivalence

ON

Answer explanation

a_n = a₁(r)^(n-1)

y = a(b)^x

Do you see how the F.I.R.E. acronym connects the two?

Answer explanation

y = a(b)^x

F= final

I= initial

R= rate

E= time

----- ----- ----- -----

a_n = a₁(r)^(n-1)

F= next term

I= initial term

R= common ratio

E= term position

• 5

• 3

• n-1

Answer explanation

Pick number before parenthesis

----- ----- ----- -----

This refers to first value in sequence

• 5

• 3

• n-1

Answer explanation

Pick number inside of parenthesis

----- ----- ----- -----

This refers to the common ratio

Answer explanation

a_n= r(a_n-1)

----- ----- ----- -----

a_n= 3(a_n-1)

Answer explanation

More than one way:

Recursive formula

Explicit formula

----- ----- ----- -----

1st= 5

2nd= 5(3)= 15

3rd= 5(3)= 45

4th= 5(3)= 135

• Yes

• No

Answer explanation

Pick number in front of parenthesis

----- ----- ----- -----

This refers to first value in sequence