Final answer:
The 50th term in the arithmetic sequence -33, -40, -47, -54, ..., can be found using the formula for the nth term of an arithmetic sequence. With a common difference of -7, the 50th term is calculated as -376. This result does not match any of the given options, indicating a possible error in the question or answer choices.
Step-by-step explanation:
To determine the 50th term in the sequence -33, -40, -47, -54, ..., we first need to identify the common difference in this arithmetic sequence. By analyzing two consecutive terms, such as -40 and -33, we find that the common difference is -7. Now, to find the 50th term, we use the formula for the nth term of an arithmetic sequence:
T_n = a + (n - 1) × d
where T_n is the nth term, a is the first term, n is the term number, and d is the common difference. Here, a = -33, n = 50 and d = -7.
Plugging these values into the formula, we get:
T_50 = -33 + (50 - 1) × -7
T_50 = -33 - 49 × 7
T_50 = -33 - 343
T_50 = -376
Therefore, the 50th term in the sequence is -376. However, this answer is not listed in the options provided, suggesting there may be a typo or error in the question or options given.