To express an odd integer in terms of \( n \), where \( n \) is a positive integer, we can use the formula for generating odd integers.
The general form for an odd integer is given by:
\[ 2n - 1 \]
Here, \( n \) is a positive integer (1, 2, 3, 4, ...), so:
- For \( n = 1 \), the expression gives \( 2(1) - 1 = 1 \).
- For \( n = 2 \), it gives \( 2(2) - 1 = 3 \).
- For \( n = 3 \), it gives \( 2(3) - 1 = 5 \).
- And so on.
Thus, \( 2n - 1 \) is a valid algebraic expression for odd integers based on the positive integer \( n \).