Question

(7.02) classify each sequence as arithmetic, geometric, or neither.

4/9,4/3,4,12,36
0,1,2,3,4,5,6
-10,-6,-2,2,6,10

Answer 1

geometric

arithmetic

arithmetic

Explanation:

1.

4/9,4/3,4,12,36

Multiply each term by 3 to get the next term. There is a common ratio between terms, so it geometric.

2.

0,1,2,3,4,5,6

Add 1 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.

3.

-10,-6,-2,2,6,10

Add 4 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.