Final answer:
To find the nᵗʰ term of the sequence -5, -705, -1405, -2105, -2805, we apply the formula for an arithmetic sequence: an = a1 + (n - 1)d. The nᵗʰ term is 695 - 700n, where n is the term number.
Step-by-step explanation:
The given sequence is -5, -705, -1405, -2105, -2805. We can see that each term is obtained from the previous one by subtracting 700, 700, 700, and so on. To find the nth term of this linear sequence, we can use the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d, where a1 is the first term, d is the common difference, and n is the term number.
Here, a1 = -5 and d = -700 (since each term decreases by 700). So the nth term is given by:
an = -5 + (n - 1)(-700)
= -5 - 700n + 700
= 695 - 700n
Therefore, the answer in 200 words or less is that the nth term of the sequence is 695 - 700n.