Unit 1 Assessment Review

Find the Missing Terms

100

3, 9, 15, 21, ...

Find the next three terms!

27, 33, 39

200

5, 25, 125, ...

Find the next three terms!

625, 3125, 15625

300

Find the missing terms!

25,__,__,__, -3

18, 11, 4

400

Find the missing terms!

2,__,__,__,__, 486

6, 18, 54, 162

500

Find the missing terms!

243,__,__,__, 3

81, 27, 9

Graphs and Tables

100

Is the sequence shown by the graph geometric or arithmetic?

Geometric

200

Write the recursive equation of the sequence shown in the table.

f(n) = f(n-1) + 5

300

Write the explicit equation for the sequence shown in the graph.

f(n) = 1*2^n-1

400

Write the explicit and recursive equations for the sequence shown in the table.

Explicit: f(n) = 3 + 12(n-1)

Recursive: f(n) = f(n-1) + 12

500

Write the explicit and recursive equations for the sequence shown in the graph.

Explicit: f(n) = 64*(1/4)^n-1

Recursive: f(n) = f(n-1) * (1/4)

Recursive Equations

100

Write the recursive equation for the sequence:

6, 14, 22, 30, ...

f(n) = f(n-1) + 8

200

Write the recursive equation for the sequence:

8, 16, 32, 64, 128, ...

f(n) = f(n-1) * 2

300

The recursive equation for a sequence is

 f(n) = f(n-1) + 7. If the first term of the sequence is 17, list the first 4 terms of the sequence.

17, 24, 31, 38

400

The explicit equation of a sequence is 

f(n) = 38*(1/3)ⁿ

Write the recursive equation.

f(n) = f(n-1) * (1/3)

500

An arithmetic sequence is as follows:
2,__, 6,__, 10

Write the recursive equation.

f(n) = f(n-1) + 2

Explicit Equations

100

Write the explicit equation for the sequence:

22, 44, 66, 88, ...

f(n) = 22 + 22(n-1) starting at n = 1

or

f(n) = 22 + 22n starting at n = 0

200

Write the explicit equation for the sequence:

40, 80, 160, 320, 640, ...

Don't forget to tell me if it starts at n = 0 or n = 1!

f(n) = 40*2^n-1 starting at n = 1

or 

f(n) = 40*2ⁿ starting at n = 0

300

The explicit equation for a sequence is 

f(n) = 45 - 12(n-1)

Write the first four terms of the sequence.

45, 33, 21, 9

400

The recursive equation for a sequence is as follows:

f(n) = f(n-1) * .25

If the first term is 85, what is the explicit equation for the sequence?

f(n) = 85*(.25)^n-1 starting at n = 1

or 

f(n) = 85*(.25)ⁿ starting at n =0

500

A geometric sequence is as follows:

500, 100, 20, 4, ...

Write the explicit equation for the sequence.

f(n) = 500*(1/5)^n-1 starting at n = 1

or

f(n) = 500*(1/5)ⁿ starting at n =0

Random

100

Kim is baking cookies at her bakery. Every 15 minutes, she makes 12 cookies. 

Write a recursive equation to represent the amount of cookies Kim makes.

f(n) = f(n-1) + 12

200

The explicit equation for a sequence is as follows:

f(n) = 19 + 5(n-1)

Find the 12^th term of the sequence.

74

300

The population of a bacterial colony decreases by a third every day. The initial population is 90,000 organisms.

Write an explicit equation to represent this scenario.

f(n) = 90,000*(1.3)ⁿ

400

Emilio's starting salary at his new job is $50,000 a year. Every year, his salary increases by 4%. 

Write explicit and recursive equations to represent Emilio's salary.

Explicit: f(n) = 50000*(1.04)^n-1

Recursive: f(n) = f(n-1)*(1.04)

500

A sequence starts at 105 and decreases by 20% between each term. Write the explicit and recursive equations for the sequence.

Explicit: f(n) = 105*(.8)^n-1

Recursive: f(n) = f(n-1)*(.8)