https://file.aiquickdraw.com/mathbot/file/17256663441816tozahk6.jpg

The image shows a table with two columns labeled "IN" and "OUT." The instructions suggest that the OUT number follows a rule based on the corresponding IN number, with some missing values to be filled in.

To solve the missing OUT value for each row, we can determine the rule by identifying the pattern of differences between IN and OUT. Let me analyze the visible data to find the rule.

Here's what I can extract so far:

- IN: 256, OUT: 606
- IN: 260, OUT: ?
- IN: 261, OUT: 611
- IN: 262, OUT: ?
- IN: 266, OUT: 621
- IN: 273, OUT: 632
- IN: 281, OUT: ?

Now, I'll calculate the pattern of changes between IN and OUT to determine the rule for filling in the missing values.The differences between the IN and OUT values are as follows:

- 256 → 606: difference of 350
- 261 → 611: difference of 350
- 266 → 621: difference of 355
- 273 → 632: difference of 359

It appears the difference is gradually increasing. Initially, the difference is 350, then it remains constant for one more IN value, and after that, it increases by 5 and 4.

I will now use this pattern to fill in the missing OUT values for IN = 260, 262, and 281.

Determine the rule that relates the OUT number to the corresponding IN number based on the provided table and fill in the missing OUT values.

Learn how to find the pattern and fill in missing values in a sequence table with IN and OUT numbers. This problem involves understanding patterns and arithmetic sequences, suitable for students in Grades 6-8.

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