To find the rule for the output values, we need to observe the pattern in each sequence. Let's examine each sequence step-by-step.
1. In sequence 1, the output values for B increase by 2 each time. Therefore, we can write a rule as follows: B = 2A + 3.
2. In sequence 2, the output values for B decrease by 3 each time. Therefore, we can write a rule as follows: B = -3A + 13.
3. In sequence 3, the output values for B double each time. Therefore, we can write a rule as follows: B = 6 x 2^(A-1).
So, the rule for the output values, written as an equation that includes the variables A and B, are as follows:
1. B = 2A + 3
2. B = -3A + 13
3. B = 6 x 2^(A-1)