Which is true regarding the nth odd integer formulation?

The nth odd integer can be expressed with the formula (2n - 1), where (n) represents any positive integer. This formula consistently generates odd integers because, by definition, odd integers are those not divisible by 2.

When (n = 1), the first odd integer is (2(1) - 1 = 1), which is odd. For (n = 2), the second odd integer is (2(2) - 1 = 3), which remains odd. Continuing this pattern, every output of the formula, regardless of the positive integer value of (n), will yield an odd integer.

Thus, it holds true that the nth odd integer is always odd, confirming that the correct choice aligns with the nature of odd integers defined by the formula.