Question

Match the sequence (term) with the correct type of sequence (definition). (4 points)

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

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have:

1) 128, 32, 8, 2 ,..

32/128=0.25

8/32=0.25

2/8=0,25

b. Geometric, common ratio is 0.25

2) 1, 3, 9, 27,...

3/1=3

9/3=3

27/9=3

c. Geometric, common ratio is 3

3) 5, 10, 15, 20,...

10-5=5

15-10=5

20-15=5

d. Arithmetic, common difference is 5.

4) 20, 17, 14, 11,...

a. Arithmetic, common difference is 3

Explanation:

Answer 2

To solve this problem you must apply the proccedure shown below:

1. You have:

1) 128, 32, 8, 2 ,..

32/128=0.25
8/32=0.25
2/8=0,25

b. Geometric, common ratio is 0.25

2) 1, 3, 9, 27,...

3/1=3
9/3=3
27/9=3

c. Geometric, common ratio is 3

3) 5, 10, 15, 20,...

10-5=5
15-10=5
20-15=5

d. Arithmetic, common difference is 5.

4) 20, 17, 14, 11,...

a. Arithmetic, common difference is 3