Turn in your Fall break Packet to the basket. Find the next/missing numbers in each pattern. 1.1,__,5,7,__,… 2.2,4,6,8,__,__,__,… 3.1,3,9,27,__,… 4.1,-3,9,-27,__,…

• Turn in your Fall break Packet to the basket.

• Find the next/missing numbers in each pattern.

1. 1,__,5,7,__,…2. 2,4,6,8,__,__,__,…3. 1,3,9,27,__,…4. 1,-3,9,-27,__,…5. 240,__,60,__,15,…

Coordinate AlgebraCoordinate AlgebraUNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems?Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5

Today’s Question: What is a Sequence? Is a sequence a function? Can you find the nth term and the domain of a sequence?Standard: MCC9‐12.R.IF.3

Arithmetic Sequence

A sequence of terms that have a common difference between them

Geometric Sequence

A sequence of terms that have a common ratio between them

Arithmetic or Geometric?

Example 1:-22, -15, -8, -1, …

Arithmetic

d = 7

Arithmetic or Geometric?

Example 2:256, 64, 16, 4, …

Geometric

r = 1/4

Arithmetic or Geometric?

Example 3:7, 4, 1, -2, -5

Arithmetic

d = -3

Arithmetic or Geometric?

Example 4:

NEITHER

8 16 3243 9 81

, , , ,...

Arithmetic or Geometric?

Example 5:

NEITHER

Explicit Formula

Formula used to find the nth term of a sequence

Explicit Formula for Arithmetic

Sequence

1 1na a n d

Explicit Formula for Geometric

Sequence

1

1

n

na a r

Find the common difference/ratio, the explicit formula, and the tenth term.

3, 9, 15, 21, …

an = 6n – 3

1 1na a n d 3 1 6na n

d = 6

10 6 10 3a

a10 = 57

Find the common difference/ratio, the explicit

formula, and the seventh term.3, 1.5, 0.75, 0.375, …

1

1

n

na a r

13 0.5

n

na

7 1

7 3 0.5a

1.50.5

3r

7 0.0456875a

The fifth term is 1,792. The constant ratio is 4. Write the

explicit formula.

5 1792 and 5 and 4a n r

17 4

n

na

5 1

11792 4a

1

1

n

na a r

17 a

HomeworkHomework

Sequence Practice WS