Exploring Arithmetic and Geometric Sequences

A mathematical operation

A connected smooth curve

A set of numbers listed in order

A single number

The sequence is decreasing

Each term has a common difference with the next

Each term is divided by a common ratio

Each term is multiplied by a common ratio

Initial term - (n-1) * common difference

Initial term / common difference

Initial term * common ratio^n

Initial term + (n-1) * common difference

14

8

11

9

A sequence that decreases by the same amount

A sequence that forms a straight line when graphed

A sequence with a common ratio

A sequence with a common difference

Subtracting successive terms

Adding successive terms

Multiplying successive terms

Dividing a term by its preceding term

The common ratio is less than 1

The common ratio is greater than 1

The common difference is negative

The sequence forms a straight line

Initial term / common ratio^(n-1)

Initial term + (n-1) * common ratio

Initial term * common ratio^(n-1)

Initial term - common ratio^n

Arithmetic sequences use division, while geometric sequences use subtraction

There is no difference

Geometric sequences use addition, while arithmetic sequences use multiplication

Arithmetic sequences use addition, while geometric sequences use multiplication

81

24

18

54