To find the 82nd term of the arithmetic sequence where the first term (a) is -16 and the common difference (d) is 4, we can use the formula for the nth term of an arithmetic sequence:
\[ a_n = a + (n - 1) \cdot d \]
Here, \( n \) is the term number you want to find.
Plugging in the values:
- \( a = -16 \)
- \( d = 4 \)
- \( n = 82 \)
Now, substitute these values into the formula:
\[ a_{82} = -16 + (82 - 1) \cdot 4 \] \[ = -16 + 81 \cdot 4 \] \[ = -16 + 324 \] \[ = 308 \]
Thus, the 82nd term of the sequence is 308.