The video tutorial introduces arithmetic sequences, explaining their properties and how to identify them by finding the common difference. It covers the concept of recursive formulas, demonstrating how to write them in both subscript and function notation. The tutorial includes examples and exercises to practice identifying sequences and writing recursive formulas.

What is an arithmetic sequence?

• A sequence with random differences between terms

• A sequence with varying differences between terms

• A sequence where each term decreases by a fixed number

• A sequence where each term increases by a fixed number

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CCSS.HSF.BF.A.2

If a sequence starts with 1, 4, 7, what is the common difference?

• 2

• 3

• 4

• 5

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CCSS.HSF.BF.A.2

Which sequence is not an arithmetic sequence?

• 10, 13, 17, 21

• 2, 5, 8, 11

• 3, 3, 3, 3

• 5, 10, 15, 20

Tags

CCSS.HSF.BF.A.2

What is the common difference in the sequence 7, 7, 7, 7?

• -1

• 0

• 1

• 7

Tags

CCSS.HSF.BF.A.2

What are the next three terms of the sequence 2, 6, 10?

• 14, 18, 22

• 12, 14, 16

• 15, 20, 25

• 13, 16, 19

Tags

CCSS.HSF.BF.A.2

What does a recursive formula provide in a sequence?

• The next term based on the sum of all previous terms

• The next term based on the difference from the previous term

• The next term based on the product of the previous terms

• The next term based only on the first term

Tags

CCSS.HSF.BF.A.2

How do you find the first term in a sequence using function notation?

• f(0)

• f(1)

• f(a)

• f(n)

Tags

CCSS.HSF.BF.A.2

What is the common difference in the sequence defined by the recursive formula a(n) = a(n-1) + 5?

• 10

• 5

• -5

• 0

Tags

CCSS.HSF.BF.A.2

If the first term of a sequence is 10 and the common difference is -2, what is the third term?

• 16

• 14

• 8

• 6

Tags

CCSS.HSF.BF.A.2

In function notation, how is the third term represented?

• f(3)

• f(2)

• f(1)

• f(n)

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CCSS.HSF.IF.A.2