To find a formula for the -n-th term of the sequence, we first need to find a formula for the n-th term of the sequence. We can do this by finding the common difference between consecutive terms:
38 - 27 = 11
49 - 38 = 11
Since the common difference is 11, we know that the formula for the n-th term of the sequence is:
an = 16 + 11(n - 1)
To find the -n-th term of the sequence, we substitute -n for n in the formula for the n-th term:
bn = 16 + 11(-n - 1)
bn = -11n + 27
Therefore, the formula for the -n-th term of the sequence is bn = -11n + 27.