Arithmetic Sequence

Find the common difference of the arithmetic sequence 14, 20, 26, ...

3, 5, 7, ... is an arithmetic sequence

• True

• False

Define arithmetic sequences.

• A sequence whose terms change by adding the same number each time.

• A sequence whose terms change by multiplying the same number each time.

• A sequence whose terms change by dividing the same number each time.

• A list of numbers that often (but not always) form a pattern.

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

Find the common difference: -34, -29, -24, -19, ...

• d = -5

• d = 5

• d = -6

• d = 6

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

Find the common difference: 29, 21, 13, 5, ...

• d = -10

• d = -9

• d = -8

• d = -7

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

• 31 and 37

• 31 and 36

• 30 and 37

• 30 and 36

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

Identify a₁ and d for the sequence -5, -2, 1, 4,... NOTE: a₁ = First Term and d = Common Difference

• a₁ = 3 and d = -5

• a₁ = -8 and d = 3

• a₁ = -5 and d = 3

• a₁ = -5 and d = -3

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

Find the 12^th term in the sequence 5, 7, 9, 11 ...

• 25

• 29

• 27

• 21

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

Find the 20th term of 2, 5, 8, 11 ....

• 29

• 39

• 49

• 59

Tags

CCSS.MATH.CONTENT.HSF.BF.A.1

CCSS.MATH.CONTENT.HSF.BF.A.2

CCSS.MATH.CONTENT.HSF.LE.A.2

Find the common difference of the arithmetic sequence -19, -14, -9, ...