Answered




Tell whether each sequence is arithmetic, geometric, or neither.

  1. 32, 16, 8, 4, ... (1 point)

arithmetic

geometric

neither

  1. 1, 4, 9, 16, ... (1 point)

arithmetic

geometric

neither

What is the common difference of each arithmetic sequence?

  1. 16, 19, 22, 25, . . . (1 point)

-3

5

3

-5

  1. 3, 5.8, 8.6, 11.4, . . . (1 point)

2.4

2.6

2.8

2.9

What is the common ratio of each geometric sequence?

  1. 6, 24, 96, 384, . . . (1 point)

18

4

14

8

  1. 12, 3, , , . . . (1 point)

1/4

4

3/4

6

Verified Answer :

MissPhiladelphia

As an overview, an arithmetic series has a common difference (d) while a geometric series has a common ratio (r). Common difference is calculated by subtracting two consecutive numbers. Common ratio is calculates by dividing two consecutive numbers.

1.) Geometric series (r = 1/2)
2.) Neither
3.) d = 3
     19 - 16 = 3;  22 - 19 = 3;  25 - 22 = 3
4.) d = 2.8
     5.8 - 3 = 2.8;  8.6 - 5.8 = 2.8;  11.4 - 8.6 = 2.8
5.) r = 4
     24/6 = 4;  96/24 = 4;  384/96 = 4
6.) r = 4
     12/3 = 4

Mcawesom
  1. geometric series
    2. neither of them
    3. common difference is 3
    4. common difference is 2.8
    5. the answer is 3/4

Related Questions