Question

Determine if the sequence below is arithmetic or geometric and determine the

common difference / ratio in simplest form.
5,10,20

Answer 1

9514 1404 393

Answer:

r = 2

Explanation:

The first differences between successive terms are ...

10 -5 = 5

20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

__

The ratios of successive terms are ...

10/5 = 2

20/10 = 2

The ratios are constant, so the sequence is ...

geometric with a common ratio of 2.