Final answer:
To find the 50th term of the sequence, we can determine the pattern and use the formula for the nth term of an arithmetic sequence.
Step-by-step explanation:
The given sequence starts with -33, -40, -47, -54... To find the 50th term of this sequence, we can determine the pattern in the sequence. Each term is obtained by subtracting 7 from the previous term. So, this is a arithmetic sequence with a common difference of -7.
To find the 50th term, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
Where an represents the nth term, a1 is the first term, n is the position of the term, and d is the common difference.
Plugging in the values, we have:
a50 = -33 + (50 - 1)(-7) = -33 + 49(-7) = -33 - 343 = -376
Therefore, the 50th term in the sequence is -376.