Final answer:
The pattern rule for the given input/output table is that the output is one third of the input number.
Step-by-step explanation:
The given table shows that for each input number, there is a corresponding output number. To find the pattern rule that connects the input to the output, we can look for a relationship between each pair of numbers. By examining the differences between the input and output numbers, we can see that each output number is one third of the corresponding input. For instance, if you divide the input number 3456 by 3, the result is 1152, which is the output. The pattern rule we can establish is that the output is the input number divided by 3. This rule applies to all the provided input/output pairs.
To discern the pattern rule for the input numbers, let's analyze the differences in the output:
The differences between consecutive output values are:
1177 - 1152 = 25
1202 - 1177 = 25
1227 - 1202 = 25
1252 - 1227 = 25