M8 L61 Sequences

M8 Lesson 61

Sequences

Poll

Describe the sequence and find the next three terms:

3, 6, 9, 12, . . .

• 15, 16, 17

• 15, 18, 19

• 13, 14, 15

• 15, 18, 21

Arithmetic Sequence

• An ARITHMETIC sequence has a constant difference between terms.

• By subtracting consecutive terms we find the constant difference.

Multiple Choice

What is the common difference in this sequence?

2, 8, 14, 20, 26, . . .

• 2

• 3

• 4

• 6

Multiple Choice

What are the next three terms in this sequence?

2, 8, 14, 20, 26, . . .

• 30, 34, 38

• 32, 38, 44

• 36, 46, 56

• 28, 30, 32

Multiple Choice

What is the common difference in this sequence?

50, 45, 40, 35, . . .

• 5

• 10

• -5

• 1/5

Multiple Choice

What are the next three terms in this sequence?

50, 45, 40, 35, . . .

• 30, 35, 40

• 30, 26, 21

• 30, 25, 20

• 55, 60, 65

Poll

Describe the pattern and find the next three terms:

1, 3, 9, 27, . . .

• 81, 243, 729

• 30, 33, 36

• 36, 42, 48

Geometic Sequence

• A GEOMETRIC sequence has a constant ratio between terms.

• By dividing consecutive terms we find the constant ratio.

Multiple Choice

What is the common ratio in this sequence?

3, 6, 12, 24, . . .

• 2

• 3

• 5

• 1/3

Multiple Choice

What are the next three terms of this sequence?

3, 6, 12, 24, . . .

• 2, 4, 6

• 48, 60, 72

• 36, 48, 60

• 48, 96, 192

Multiple Choice

What is the common ratio in this sequence?

1, 5, 25, 125, . . .

• 3

• 15

• 5

• 1/5

Multiple Choice

What is the next term of this sequence?

1, 5, 25, 125, . . .

• 150

• 225

• 500

• 625

Arithmetic or Geometric?

• To determine if a sequence is arithmetic find the difference between consecutive terms.

• If the difference is the same it is arithmetic.

• To determine if a sequence is geometric, find the ratio of consecutive terms.

• If the ratio is the same it is geometric.

Multiple Choice

Is this sequence arithmetic or geometric?

2, 4, 6, 8, . . .

• arithmetic

• geometric

• neither

Multiple Choice

Is this sequence arithmetic or geometric?

3, 6, 9, 12, . . .

• arithmetic

• geometric

• neither

Multiple Choice

Is this sequence arithmetic or geometric?

3, 6, 12, 24, . . .

• arithmetic

• geometric

• neither

Multiple Choice

Is this sequence arithmetic or geometric?

5, 10, 20, 40 . . .

• arithmetic

• geometric

• neither

Multiple Choice

Is this sequence arithmetic or geometric?

1, 5, 25, 125, . . .

• arithmetic

• geometric

• neither

Multiple Choice

Is this sequence arithmetic or geometric?

1, 1, 2, 3, 5, . . .

• arithmetic

• geometric

• neither

Multiple Select

What sequence is generated by the formula

8n - 5?

• -5, 3, 11, 19, . . .

• 3, 11, 19, 27, . . .

• 3, 12, 20, 28, . . .

• -5, 2, 10, 18, . . .

Multiple Select

What sequence is generated by the formula

$$n^2-4$$  ?

• -3, 0, 5, 12, . . .

• -4, -3, 0, 5, . . .

• -5, -2, 1, 4, . . .

• 1, 4, 9, 16, . . .

Poll

What sequence is generated by the formula

$$3^n$$  ?

• $$3^1,\ 3^2,\ 3^3,\ 3^4,\ .\ .\ .$$  

• $$3^0,\ 3^1,\ 3^2,\ 3^3,\ .\ .\ .$$  

• 1, 3, 9, 27, . . .

• 3, 9, 27, 81, . .

Poll

What sequence is generated by the formula

$$3^{n-1}$$  ?

• $$3^1,\ 3^2,\ 3^3,\ 3^4,\ .\ .\ .$$  

• $$3^0,\ 3^1,\ 3^2,\ 3^3,\ .\ .\ .$$  

• 1, 3, 9, 27, . . .

• 3, 9, 27, 81, . .

Multiple Select

What sequence is generated by the formula

$$2^{n-1}$$   ?

• 1, 2, 4, 8, . . .

• 1/2, 1, 2, 4, . . .

• -1, 2, 4, 8, . . .

• 1, 4, 8, 16, . . .

Multiple Select

Which of the formulas describe this sequence.

3, 6, 9, 12, . . .

• 2n+3

• 3n

• 3+n

• 3(n-1)+3

Multiple Choice

Which of the formulas describe this sequence.

3, 6, 12, 24, . . .

• $$2^{n-1}$$

• $$3\times2^n$$

• $$3\times2^{n-1}$$

• $$2^n$$

Multiple Choice

Which of these formulas describe this sequence.

1, 5, 25, 125, . . .

• $$5^n$$

• $$5^{n-1}$$

• 5n

• 5+n