Question

Match the sequence (term) with the correct type of sequence (definition).

1. 5, 10, 15, 20,
2. 128, 32, 8, 2,
3. 20, 17, 14, 11,
4. 1, 3, 9, 27,
Options Below
a. Geometric, common ratio is 0.25
b. Geometric, common ratio is 3
c. Arithmetic, common difference is 5
d. Arithmetic, common difference is −3

Answer 1

1. 5, 10, 15, 20, = C. Arithmetic, common difference is 5

2. 128, 32, 8, 2, = Geometric , Common ratio is 0.25

3. 20, 17, 14, 11, = Arithmetic , Common difference is -3

4. 1, 3, 9, 27, = Geometric , common ratio is 3

Explanation:

In arithmetic sequence we calculate the common difference and it is gotten by:

`T_2-T_1 \: or \\ T_4-T_3`

In geometric progression we calculate common ratio and it is gotten by :

`(T_2)/(T_1) \: or \: \\ (T_4)/(T_3)`