The rule for the sequence 1, 3, 5, 7, 9, 11 is that it's a sequence of odd numbers.
Each number in the sequence is obtained by adding 2 to the previous number. This is also known as an arithmetic sequence with a common difference of 2.
The general term for this sequence can be represented as 2n - 1, where 'n' represents the position of the number in the sequence.
Example:
- For the first number (n = 1), the formula would be 2(1) - 1 = 1
- For the second number (n = 2), the formula would be 2(2) - 1 = 3
- And so on.
The sequence can be extended indefinitely by following this rule.