What's the pattern?
Formula Factory
Definitions
Potpourri
100

Is the sequence Arithmetic or Geometric?

2, 4, 8...

Geometric

100

Given the explicit arithmetic formula, identify the common difference.

a_n = 5+3(n-1)

d = 3

100

Which type of sequence has numbers that change by adding by the same amount?

Arithmetic

100

What fruit do raisins come from?

Grapes

200

What's the next two terms?

5, 20, 35,...

50, 65

200

Given this explicit geometric formula, what are the first 3 terms?

a_n=7(2)^(n-1)

7, 14, 28

200

What does a1 represent?

The first term of a sequence

200

Groups of animals have unique names such as herd of cattle and flock of birds.  What do you call a group of fish?

School of fish

300

Arithmetic or Geometric?  What's the pattern?

100, -60, 36,...

Geometric r = -0.6

300

Given this recursive formula, what are the first 3 terms?

a_1=17

a_n=a_(n-1)-6

17, 11, 5

300

A geometric sequence is a pattern where each number is multiplied by the same value. That value is called the common ______?

Common ratio

300

What year was the Nintendo Switch released?

2017

400

Here is an arithmetic sequence given a1=10 and a4=22. Fill in the blanks.

10, ___, ___ , 22

d = 4

10, 14, 18, 22

400

Set up an explicit formula for the arithmetic sequence.

9, 5, 1...

a_n=

a_n=9-4(n-1)

400

What does an-1 mean?

previous term

400

Which country invented the Caesar Salad?

Italy, Mexico, Greece, or USA

Mexico