Final answer:
The 57th term of the arithmetic sequence is -909.
Step-by-step explanation:
The given arithmetic sequence starts with -13 and subtracts 16. To find the 57th term, we can use the formula:
an = a1 + (n - 1)d
where an represents the nth term, a1 is the first term, n is the term number, and d is the common difference.
In this sequence, a1 = -13 and d = -16. Plugging these values into the formula, we get:
a57 = -13 + (57 - 1)(-16)
= -13 + 56(-16)
= -13 + (-896)
= -909
Therefore, the 57th term of the given arithmetic sequence is -909.