14, 19,24,29
1. geometric 34,39,44
2. arithmetic 32, 36, 41
3. arithmetic 34,39,44
4. the sequence is nether geometric nor arithmetic
To determine whether the given sequences are geometric or arithmetic, we can compare the differences between consecutive terms.
1. Geometric sequence: 34, 39, 44
The common ratio (r) is calculated by dividing any term by its previous term.
r = 39 / 34 = 1.147
r = 44 / 39 = 1.128
Since the ratios are not equal, the sequence is not geometric.
2. Arithmetic sequence: 32, 36, 41
The common difference (d) is calculated by subtracting any term from its previous term.
d = 36 - 32 = 4
d = 41 - 36 = 5
Since the differences are not the same, the sequence is not arithmetic.
3. Arithmetic sequence: 34, 39, 44
The common difference is calculated in the same way as above.
d = 39 - 34 = 5
d = 44 - 39 = 5
Since the differences are the same, the sequence is arithmetic.
4. The sequence is neither geometric nor arithmetic because it does not follow a consistent pattern. The terms do not have a constant ratio or difference between them.