Sequences

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

Each individual number in a sequence of numbers is called what?

• Common difference
• Successive term
• Term
• Geometric term

Tags

CCSS.HSF.BF.A.2

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

Identify the next three terms of the sequence below:

-6, -10, -14,...

• -17, -21, -25

• 17, 21, 25

• 18, 22, 26

• -18, -22, -26

Tags

CCSS.HSF.BF.A.2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 6)

• geometric (common ratio r = 4)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

Tags

CCSS.HSF.BF.A.2

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

• $a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot3$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}+8$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}-8$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot9$

Tags

CCSS.HSF.IF.A.3