Geometric vs Arithmetic Sequence
Equations
Graphs
Tables
Word Problems
100

Is this an arithmetic or geometric sequence?

2 4 6 8 10 12...

Arithmetic

100
What is the equation for a linear function?

y=mx+b

100

Is the graph below a linear or exponential graph

Linear

100

Is the table below linear or exponential?

Exponential

100

Which type of equation best represents the story below? Linear or exponential?

Johnnie has $300 in his bank account right now. Everyday that he works at the grocery store he earns $50 more. 

Linear

200

Is this an arithmetic or geometric sequence?

5 10 15 20 25...

Geometric

200

What is the equation for a exponential function?

y=a(b)x

200

Is the graph below linear or exponential

Exponential

200

Given the equation y=4(2)x complete the table

200

Which type of equation best represents the story below? Linear or exponential?

Ngozi earns $24,000 in salary in the first year she works as an interpreter. Each year, she earns a 3.5% percent raise.

Exponential

300

Is this an arithmetic or geometric sequence and what is the rule?

100 90 80 70 60...

Arithmetic, add -10 (or subract 10)

300

What does the in the equation y=a(b)x represent?

The initial value

300

What is the y intercept of the graph below?

b = 3

300

What is the initial or a value of the table below?

a = 3

300

Write a linear equation to represent the problem below.

Your car has 4 gallons of gas in the tank when you pull up to the gas station. For every $2 you spend you get another gallon of gas.

y=2x+4

400

Is this an arithmetic or geometric sequence and what is the rule?

6 18 54 162 486

Geometric, multiply by 3

400

What does the in the equation y=mx+b represent?

Slope

400

What is the growth rate for the graph below

b = 2

400

Write an equation for the table below

y = 3(3)x

400

What would the growth rate of the following problem be?

In 1950, the per capita gross domestic product (GDP) of Australia was approximately $1800. Each year afterwards, the per capita GDP increased by approximately 6.7%.

Growth rate is 1.067

500

Is this a arithmetic or geometric sequence and if so what is the rule?

371,293    28,561    2,197   169   ...

Geometric, multiply 1/13 (or divide by 13)

500

Given these two points, write a linear equation (y=mx+b)

(0,3) (2,13)

y=5x+3

500

Write an equation for the table below

y = 3(2)x

500

Write an equation for the table below

y = 3x + 3

500

Write an equation for the following problem, and how much would I have in 2 years?

Ya boy invests $2000 in BitCoin that earns 2% percent in interest each year.

y=10(1.02)x

I would have $1040.40