Final answer:
The given sequence is an arithmetic sequence as each term is obtained by adding a constant difference of 11 to the previous term.
Step-by-step explanation:
The sequence given is 11, 22, 33, 44, 55, and to determine the type of sequence, we need to look at the pattern of the numbers. An arithmetic sequence is a sequence where each term after the first is obtained by adding a constant difference to the previous term. In this case, we can calculate the difference between consecutive terms:
- 22 - 11 = 11
- 33 - 22 = 11
- 44 - 33 = 11
- 55 - 44 = 11
Since the difference is constant, this sequence is arithmetic. A geometric sequence, on the other hand, is a sequence where each term after the first is obtained by multiplying the previous term by a constant factor, which does not apply here. Therefore, the given sequence is not geometric. Consequently, the type of sequence shown is arithmetic, and the next term would be found by adding 11 to the last term, 55, giving us 66.