Respuesta :

Gyzmo

Answer:

Arithmetic: (4, 8, 12, 16, ...) (3, 8, 13, 18, ...)

Geometric: (2, 6, 18, 54, ...) (5, 10, 20, 40, ...)

Neither arithmetic or geometric: (5, 10, 20, 30, ...)

Step-by-step explanation:

Arithmetic sequences are sequences where all of the numbers have a common difference.

4, 8, 12, 16, ... all have a common difference of 4.

3, 8, 13, 18, ... all have a common difference of 5.

Geometric sequences are sequences where all of the numbers have a common ratio.

2, 6, 18, 54, ... all have a common ratio of 3.

5, 10, 20, 40, ... all have a common ratio of 2.

Sequences that are neither arithmetic or geometric do not have common differences or common ratios.

5, 10, 20, 30, ... does not have a common difference or a common ratio

Answer:

correct answer is. Arithmetic: first and third, Geometric: second and fourth, Neither Arithmetic nor Geometric: fifth

Step-by-step explanation:

Formula for Arithmetic sequences is:

aₙ = a₁ + (n - 1) d

First: 4, 8, 12, 16, .... a₁ = 4 and d = 4

Third: 3, 8, 13, 18, ... a₁ = 3 and d = 5

Formula for Geometric sequences is:

aₙ = a₁ · q ⁽ⁿ⁻¹⁾

Second: 2, 6, 18, 54, .... a₁ = 2 and q = 3

Fourth: 5, 10, 20, 40, ... a₁ = 5 and q = 2

Fifth is neither Arithmetic nor Geometric

God with you!!!