determine if the sequence 0.2,1,5,25 is arithmetic of geometric
1 - 0.2 = 0.8
check the other pairs of consecutive terms to make sure the difference stays constant. If so, then the sequence is arithmetic.
1/0.2 = 5
check the other pairs of consecutive terms to make sure the ratio stays constant. If so, then the sequence is geometric.
To determine if the sequence 0.2, 1, 5, 25 is arithmetic or geometric, you need to check the differences or ratios between consecutive terms.
For an arithmetic sequence, the difference between consecutive terms is constant. Let's calculate the differences between terms:
1 - 0.2 = 0.8
5 - 1 = 4
25 - 5 = 20
The differences are not constant, so the sequence is not arithmetic.
For a geometric sequence, the ratio between consecutive terms is constant. Now let's calculate the ratios between terms:
1 / 0.2 = 5
5 / 1 = 5
25 / 5 = 5
The ratios are constant (5), which means the sequence is geometric.
Therefore, the sequence 0.2, 1, 5, 25 is geometric.