Sequences
Find the Term
Common Difference or Common Ratio
Variables
Formulas
100

Definition of arithmetic sequence.

What is a sequence of numbers such that difference between the consecutive terms is constant.

100

13, 10, 7, 4, ____,

What is 1.

100

The sequence in which common difference is used.

What is arithmetic sequences.

100

d = 

What is the common difference.

100

an = a1 + (n-1)d 

What is the explicit formula for arithmetic sequences. 

200

Definition of geometric sequences.

What is a sequence of numbers such that the terms have a common ratio between them. 

200

8, 8.5, 9, 9.5, 10, ____, ____, ...

What is 10.5 and 11.

200

The sequence in which common ratio is used.

What is geometric sequences. 

200

r = 

What is the common ratio.

200

First team to write BONUS wins

BONUS

300

The variable d.

What is the common differences used for arithmetic sequences. 

300

a4 = _____ if a sequence has a formula of an = a(n-1) +5 and a1 = 7

What is 22.

300

2, 8, 32, 128, 512,...

What is the common ratio of 4.

300

an =

What is the nth term.

300

an = r * a(n-1)

What is the recursive formula for geometric sequences. 

400

The variable r.

What is the common ratio used for geometric sequences.

400

a7 for the following sequence:

81, 27, 9, 3,...

What is a7 = 1/9

400

11, 15, 19, 23, 27,...

What is a common difference of 4.

400

a1 = 

What is the first term of the sequence.

400

an = a(n-1) + d

What is the recursive formula for arithmetic sequences.

500

Explain a real world application for both arithmetic and geometric sequences. 

Answers vary but need an arithmetic and geometric real world application: At teacher discretion.

500

aof the following sequence:

-5, 15, -45,...

What is a5 = -405

500

2, 6, 18, 54, 162,...

What is the common ratio of 3.

500

an-1 = 

What is the previous term than the nth term.

500

an = a1 * r(n-1)

What is the explicit formula for geometric sequences.