A2 Final Exam Review 22-23 S1 (Pt. 2)

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•

CCSS

HSF.BF.A.2

Standards-aligned

Hannah Wiley

Used 12+ times

FREE Resource

11 Slides • 35 Questions

Algebra 2 CP Final Exam Review Pt. 2

Topic: Arithmetic and Geometric Sequences

This assignment counts as a minor grade. Please complete it twice if your first grade is unsatisfactory.

Arithmetic Sequence

An arithmetic sequence is a sequence where you add a constant number to find the next term, similar to the constant rate of change in a linear function.

In an arithmetic sequence we only add to find the next number (term). This number can be positive or negative.

Term

In a sequence each number is called a term.

The dots at the end mean the sequence continues forever.

a₁is the first term

a₂is the second term

a₃ is the third term and so on...

a_n is the nth term (we will find the equation for the nth term in the next lesson)

Ready to try some examples?

Remember in an arithmetic sequence, each number is found by adding a common difference, which can be positive or negative.

Multiple Choice

What is each number in a sequence called?

common difference

term

sequence

arithmetic

Multiple Choice

What is the difference between two numbers in an arithmetic sequence called?

common difference

term

sequence

number

Multiple Choice

Identify the common difference.

10, 20, 30, 40, ...

Multiple Choice

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

Remember, the common difference is the difference between the numbers.

d = -10

d = -9

d = -8

d = -7

Multiple Select

Which sequences are arithmetic?

(hint: select 2)

2, 4, 6, 8, 10 ...

5, 10, 20, 40, 80, 100 ...

1, 3, 7, 9, 15, 20 ...

4, 8, 12, 16, 20, 24 ...

Multiple Choice

If the first term of an arithmetic sequence is 5 and the common difference is 6, what are the first five terms?

5, 11, 17, 23, 29

6, 11, 16, 21, 26

5, 10, 15, 20, 25

5, 11, 15, 20, 26

Multiple Choice

Which sequence has a common difference of 4?

4, 6, 8, 10, 12...

1, 5, 9, 13, 17....

4, 4, 4, 4, 4...

4, 14, 24, 34, 44...

Multiple Choice

Is the sequence Arithmetic?

10, 18, 26, 34, 40

Yes

Multiple Choice

Is this an arithmetic sequence?

1, 5, 9, 13, ...

yes

Open Ended

What is the common difference of this arithmetic sequence:

1, 5, 9, 13, ...

Type response here

Multiple Choice

Is this an arithmetic sequence?

1, 3, 6, 10, ...

yes

Multiple Choice

Is this an arithmetic sequence?

6, 2, -2, -6, ...

yes

Open Ended

What is the common difference of this arithmetic sequence:

6, 2, -2, -6, ...

Type response here

Open Ended

What are the next 2 terms of this arithmetic sequence:

12, 9, 6, 3, ...

Type response here

Open Ended

What are the next 2 terms of this arithmetic sequence:

-2, 2, 6, 10, ...

Type response here

Sequences

A sequence is an ordered list of numbers. Each number in a sequence is called a term. Each term an has a specific position n in the sequence.

example: 5, 10, 15, 20, 25,…a_n

Multiple Choice

The formula for finding the $n^{th}$ term of the arithmetic sequence:

15, 13, 11, 9 ... * what is the first term? * what is the common difference?

$15+\left(n-1\right)\left(2\right)$

$9+\left(n-1\right)\left(2\right)$

$15+\left(n-1\right)\left(-2\right)$

Fill in the Blanks

Type answer...

we also have special sequence formulas to learn

Multiple Choice

Find the 10^thterm in the sequence that starts with 1 and has a common difference of 3.

Fill in the Blanks

Type answer...

Geometric Sequences

Is multiplied or divided by the same value every time

Multiple Choice

What does r represent?

Radical

Common difference

Common ratio

Multiple Choice

Find the common ratio for the geometric sequence.

1/2

Multiple Choice

Find the common ratio of the following geometric sequence:

2, -10, 50, -250, ...

r = -5

r = 3

r = 5

r = -3

Multiple Choice

Is this sequence geometric?

yes

Multiple Choice

Is the sequence 2, 4, 12, 48,... geometric?

yes

Multiple Choice

Find the next three terms: 4, 12, 36, 108, ...

324, 972, 2916

972, 2916, 8748

405, 1215, 3645

Two different ways to show the same thing

Some text here about the topic of discussion

Explicit Formua

Recursive Formula

Multiple Choice

What would term a₁ be in the sequence:

4, 8, 16, 32, 64, ...

Multiple Choice

Using the sequence: 5, 10, 20, 40, 80, 160, ...

If a₄= 40, what would a_n-1 be?

Find a₁ ---> the first term

Understand what a_n-1 means.... it means the previous term

Recursive Formula

Multiple Choice

Given the sequence: 3, 12, 48, 96, 384, ...

What is the recursive formula?

a₁= 3

a_n= (4) a_n-1

a₁= 4

a_n= (3) a_n-1

a₁= 12

a_n= (9) a_n-1

a₁= 3

a_n= (-9) a_n-1

a₁= first term

r = common ratio

n - 1 = previous term

n = desired term

Some text here about the topic of discussion.

Explicit Formula

Multiple Choice

Given the sequence: 6, 30, 150, 750, 3750, ...

What is the explicit formula?

a_n= 5*(5)^n-1

a_n= 30*(6)^n-1

a_n= 6*(30)^n-1

a_n= 6*(15)^n-1

Multiple Choice

Is the following sequence a growth or decay?

7, 49, 343, 2401, 16807, ...

Growth

Decay

Multiple Choice

Is the following sequence a growth or decay?

-20, -60, -360, -2160, -12,960, ...

Growth

Decay

Multiple Choice

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

Multiple Choice

A plumber charges $55 for 1 hour of work, $90 for 2 hours, and $125 for 3 hours. Which function represents the sequence of hourly charges?

$a_n=35(55)^{n-1}$

$a_n=55(35)^{n-1}$

$a_n=35+55(n-1)$

$a_n=55+35(n-1)$

Multiple Choice

Select the explicit rule that represents the sequence.

A=1+5n

A=6+5n

A = 5+1n

A=5+6n

Multiple Choice

Select the explicit rule that represents the sequence.

A=14-3n

A=3-14n

A=17-3n

A=3-17n

Algebra 2 CP Final Exam Review Pt. 2

Topic: Arithmetic and Geometric Sequences

This assignment counts as a minor grade. Please complete it twice if your first grade is unsatisfactory.

Show answer

Auto Play

Slide 1 / 46

SLIDE

Similar Resources on Wayground

41 questions

Covalent Bonding

Presentation

•

8th - 12th Grade

37 questions

SOH-CAH-TOA

Presentation

•

9th - 12th Grade

40 questions

Unit 1: Intro to functions in Algebra (Parent Functions)

Presentation

•

9th - 12th Grade

41 questions

ALGI_12D_08.12 - Tuesday Quizizz

Presentation

•

9th - 12th Grade

42 questions

10.3 and 10.4 Arcs and Chords and Inscribed Angles

Presentation

•

9th - 12th Grade

41 questions

Solving Systems of Linear Equations and Inequalities

Presentation

•

9th - 12th Grade

42 questions

4.2.1 Scale Drawings & Similar Figures

Presentation

•

9th - 12th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade