Question

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...

Answer 1

In an Arithmetic Sequence, there is a common number added or subtracted from each term to get the next
In a Geometric Sequence, there is a common number multiplied or divided from each term to get the next

4, 9, 14
(4+5) = 9
(9+5) = 14

So sequence is arithmetic and the common difference is 5

Answer 2

It is an arithmetic sequence and the common difference is 5

Explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)