Which of the following expressions represents the nth odd integer?

The expression that correctly represents the nth odd integer is derived from the pattern in odd numbers. The sequence of odd integers starts with 1, 3, 5, 7, 9, and continues indefinitely. Observing this pattern, we can notice that:

• The first odd integer (for n = 1) is 1,

• The second odd integer (for n = 2) is 3,

• The third odd integer (for n = 3) is 5,

• The fourth odd integer (for n = 4) is 7,

• The fifth odd integer (for n = 5) is 9.

From this sequence, we can see that each odd integer can be expressed as follows:

1 = 2(1) - 1,

3 = 2(2) - 1,

5 = 2(3) - 1,

7 = 2(4) - 1,

9 = 2(5) - 1.

Thus, the general form for the nth odd integer is expressed as 2n - 1. This equation confirms that if you input any integer n, the result will yield the corresponding nth odd integer.

The other expressions