Final answer:
The sequence 13, 29, 427, 881 is not geometric because each term is not obtained by multiplying the previous term by a constant ratio. The ratios between successive terms vary, so there is no common ratio.
Step-by-step explanation:
Is the sequence 13, 29, 427, 881 geometric? To determine if a sequence is geometric, each term should be obtained by multiplying the previous term by a constant number, known as the common ratio.
Let's calculate the ratios between successive terms:
- Ratio from 13 to 29: 29 ÷ 13 = 2.23077 (approximately)
- Ratio from 29 to 427: 427 ÷ 29 = 14.72414 (approximately)
- Ratio from 427 to 881: 881 ÷ 427 = 2.06324 (approximately)
Since the ratios are not the same, the sequence is not geometric. Therefore, there is no common ratio.