The sequence of the number of cans in each bin is as follows:
- First bin: 11
- Second bin: 33
- Third bin: 99
- Fourth bin: 297
To analyze this sequence, let's look at the relationship between consecutive terms:
- From the first bin to the second bin: \( 33 \div 11 = 3 \)
- From the second bin to the third bin: \( 99 \div 33 = 3 \)
- From the third bin to the fourth bin: \( 297 \div 99 = 3 \)
Each term is obtained by multiplying the previous term by 3. This indicates that the sequence is a geometric sequence with a common ratio of 3.
To summarize, the sequence \( 11, 33, 99, 297 \) is a geometric sequence where each term is obtained by multiplying the previous term by 3.