Final answer:
The 33rd term of an arithmetic sequence with a first term of -11 and a common difference of -5 is -171.
Step-by-step explanation:
To find the 33rd term of a sequence where the first term (a1) is -11 and the common difference (d) is -5, we can use the arithmetic sequence formula:
an = a1 + (n - 1)d
Plugging the values in:
a33 = (-11) + (33 - 1)(-5)
a33 = (-11) + (32)(-5)
a33 = (-11) - 160
a33 = -171
So, the 33rd term of the sequence is -171.