Question

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

Answer 1

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

Answer 2

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