Final answer:
The nth term of the sequence -3, -603, -1203, -1803, -2403 is given by the formula 597 - 600n.
Step-by-step explanation:
To determine the nth term of the sequence -3, -603, -1203, -1803, -2403, we first observe the pattern of differences between consecutive terms. Each term decreases by 600, so we have a linear sequence. We start with -3 for n=1 and subtract 600 for each subsequent term, so the nth term Tn can be described by the formula:
Tn = -3 - 600(n - 1)
This simplifies to:
Tn = -3 - 600n + 600
Which further simplifies to:
Tn = 597 - 600n
Therefore, the nth term of the given sequence is 597 - 600n.