Identifying Arithmetic and Geometric Sequences

To determine if they are arithmetic, geometric, or neither

To find the sum of the sequences

To calculate the average of the sequences

To identify the largest number in the sequences

Check if it is neither

Check if it is geometric

Check if it is a Fibonacci sequence

Check if it is arithmetic

By dividing by a constant

By multiplying by a constant

By subtracting a constant

By adding a constant to the previous term

Each term is found by subtracting a constant

Each term is found by dividing by a constant

Each term is found by adding a constant

Each term is found by multiplying by a constant

Both add a constant

Arithmetic sequences add a constant, geometric sequences multiply by a constant

Both multiply by a constant

Arithmetic sequences multiply by a constant, geometric sequences add a constant

Each term is found by multiplying by a constant

The ratio between consecutive terms is constant

The sequence can include negative numbers

Each term is found by adding a constant

5

6

4

3

3, 6, 9, 12

5, 10, 20, 40

1, 2, 4, 8

2, 4, 8, 16

Dividing by 2

Multiplying by 1/4

Subtracting 4

Adding 4

3, 9, 27, 81

5, 10, 15, 20

2, 4, 6, 8

1, 3, 5, 7