To determine which functions generate the arithmetic sequence 10, 12, 14, 16, we first identify the common difference of the sequence, which is 2 (12 - 10 = 2). The general formula for the n-th term of an arithmetic sequence can be expressed as a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference. In this case, a_1 = 10 and d = 2, leading to the formula a_n = 10 + 2(n - 1) = 2n + 8. We then evaluate each function:

1. For a(n) = 16 + 3n for n > -2:
- a(-2) = 10, a(-1) = 13, a(0) = 16, a(1) = 19, which does not match the sequence.

2. For b(n) = 14 + 2n for n > -1:
- b(-1) = 12, b(0) = 14, b(1) = 16, which matches part of the sequence.

3. For c(n) = 10 + 3n for n > 0:
- c(1) = 13, c(2) = 16, which does not match the sequence.

4. For d(n) = 8 + 2n for n > 1:
- d(1) = 10, d(2) = 12, d(3) = 14, d(4) = 16, which matches the sequence.

Thus, the functions that generate the sequence are b(n) and d(n).