Final answer:
The explicit formula for the arithmetic sequence -11, -3, 5, 13, ... is aₙ = -11 + 8n.
Step-by-step explanation:
The explicit formula for the arithmetic sequence -11, -3, 5, 13, ... is:
aₙ = -11 + 8n
To find this formula, we can observe that the sequence starts with -11 and each subsequent term increases by 8. Therefore, the common difference between terms is 8. The formula aₙ = -11 + 8n represents this pattern, where n is the position of the term in the sequence.