Final answer:
The 52nd term of the arithmetic sequence -8, -12, -16 is 196.
Step-by-step explanation:
The given arithmetic sequence is -8, -12, -16. To find the 52nd term of this sequence, we can use the formula:
An = A1 + (n-1)d
where An is the nth term, A1 is the first term, and d is the common difference.
In this case, A1 = -8 and d = -4. Plugging these values into the formula, we get:
An = -8 + (52-1)(-4) = -8 + 204 = 196.
Therefore, the 52nd term of the arithmetic sequence -8, -12, -16 is 196.