Final answer:
The sequence -4, 9, 22, 35, 48, 61,... is an arithmetic sequence because each term is increased by 13 to obtain the next term.
Step-by-step explanation:
To determine the type of sequence given by -4, 9, 22, 35, 48, 61,..., we need to look at the differences between consecutive terms. Calculating the difference between each term, we have:
- 9 - (-4) = 13
- 22 - 9 = 13
- 35 - 22 = 13
- 48 - 35 = 13
- 61 - 48 = 13
Since each term increases by the same amount, which is 13, the sequence is an arithmetic sequence. This means the sequence follows a specific pattern where the same number is added to each term to get the next term.