Hey!
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Since each term is -12 smaller than the previous we can just multiply.
-12 x 5 = -60 per 5 terms.
Just add -60 in a pair of 5 terms till you get to the 50th term.
5th term: -41
10th term: -101
15th term: -161
20th term: -221
25th term: -281
30th term: -341
35th term: -401
40th term: -461
45th term: -521
50th term: -581
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Hope This Helped! Good Luck!