Arithmetic and Geometric Sequences

Name the sequence and find the next three terms of the sequence 1, 4, 16

64, 256, 1024

1/5

Determine the common ratio: 500, 100, 20

(1/3)

Find the common ratio of the sequence: 81, 27, 9

4

Find the common ratio: 1, 4, 16, 64

243, 729, 2187

Find the next three numbers 3, 9, 27, 81

Arithmetic, next three terms are 30, 39, 48

Name the sequence and find the next three terms of the sequence: 3, 12, 21. . .

10,20, 40

What are the three missing terms in the geometric sequence? 5,__,__,__,80

18,54,162

What are the three missing terms in the geometric sequence? 6__,__,__486

2

What is the common ratio in the geometric sequence? 5,__,__40

1/2

What is the common ratio in this sequence: 100, 50, 25, 12.5

3, the common ratio is what you mutliply by to get each successive term in the sequence

What is the common ratio? 2, 6, 18, 54..

1/4, you mulitply by 1/4 to get the next term. If you said divide by 4, that is the same as multiplying by 1/4.

What is the common ratio? 64, 16, 4 , 1...

Artithmetic Sequence

a numerical pattern that adds by a constant number to get the next term (the number could be positive or negative)

Geometric Sequence

a numerical pattern that multiplies by a constant rate or value to get the next term

Common Ratio

the ratio between any two consecutive terms in an geometric sequence