Sequences: Explicit & Recursive Formulas

A sequence is _______.

• a set of numbers in a specific order.

• a formula used to find a number.

• the term after a_n.

• a collection of data.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Given the following sequence and a_n = 7, what is a_n+1?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Given the following sequence, what is a₅?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Given the following sequence, what is the pattern?

2, 7, 12, 17,...

• add 10

• add 2

• add 5

• add -5

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Which sequence has a pattern of "multiply by 4?"

• 2, 4, 8, 16,...

• 4, 12, 36, 108,...

• 1, 4, 7, 10,...

• 3, 12, 48, 192,...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the first four terms of the sequence.

a_n= 6n - 1

• 6, 12, 18, 24

• 5, 11, 17, 23

• 0, 6, 12, 18

• 6, 7, 8, 9

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the first four terms of the sequence.

a_n= 7(n + 2)

• 21, 28, 35, 42

• 7, 9, 11, 13

• 9, 16, 23, 30

• 16, 23, 30, 37

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

Find the first four terms of the sequence.

a_n= 3(4)ⁿ

• 12, 48, 192, 768

• 12, 144, 1728, 20736

• 12, 24, 36, 48

• 3, 12, 48, 192

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find the first four terms of the sequence.

a_n= a_(n-1) - 18 where a₁=10

• 18, 8, -2, -12

• 28, 46, 64, 82

• -8, -26, -44, -60

• 10, -8, -26, -44

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the first four terms of the sequence.

a_n+1= a_n + 9 where a₁= -2

• -2, -11, -20, -29

• 9, 7, 5, 3

• -2, 7, 16, 25

• 9, 18, 27, 36

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3