Question

400, 480, 576, 691. 2, 829. 44,

. . .

Is the sequence arithmetic or geometric? Explain your reasoning.

Answer 1

geometric sequence

Explanation:

an arithmetic sequence has a common difference between consecutive terms.

480 - 400 = 80

576 - 480 = 96

the difference d is not common then not arithmetic

a geometric sequence has a common ratio between consecutive terms.

`(480)/(400)` = 1.2

`(576)/(480)` = 1.2

`(691.2)/(576)` = 1.2

`(829.44)/(691.2)` = 1.2

there is a common ratio r between the terms

then sequence is geometric