Answer: The 57th term in the sequence is -282.
Step-by-step explanation: The sequence starts with 13, and then subtracts 5 repeatedly to get the next terms:
13 - 5 = 8, 8 - 5 = 3, 3 - 5 = -2 ,-2 - 5 = -7, -7 - 5 = -12
To find the 57th term, we need to subtract 5 from the 56th term. Let's calculate it step by step:
56th term = -12, 55th term = -12 - 5 = -17, 54th term = -17 - 5 = -22, 2nd term = -17 - 5*(55-2) = -17 - 5*(53) = -17 - 265 = -282
I hope this helps!