Question

Determine whether the following sequence is arithmetic, geometric, or neither.

-7, -14, -28, -56, ...

A) arithmetic
B) geometric
C) neither

Answer 1

B. Geometric

Explanation:

Answer 2

B

Explanation:

A geometric sequence has a common ratio r between consecutive terms

r =
`(a_(2) )/(a_(1) )` =
`(a_(3) )/(a_(2) )` = ...

`(-14)/(-7)` = 2

`(-28)/(-14)` = 2

`(-56)/(-28)` = 2

There is a common ratio of 2 between consecutive terms.

Hence sequence is geometric → B