if the letter n represents a positive integers {1,2,3,4. . .}, write algebraic expression for each of the following

Question

an odd integer

Answer 1

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 \( n \).