Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make a true pattern.
Hint
How can we tell whether the digits we place in the boxes actually make a pattern?
How can we tell if the pattern increases each time by the digit we choose?
How can we tell what would be a bad digit to choose for how much it increases by?
How can we tell if the pattern increases each time by the digit we choose?
How can we tell what would be a bad digit to choose for how much it increases by?
Answer
There are many possible answers including 8, 17, 26 increases by 9.
Source: Robert Kaplinsky
5 7 2 3 4 9
7 3 4 5 8 6
There are 7 solutions:
5, 14, 23 increases by 9
6, 15, 24 increases by 9
7, 15, 23 increases by 8
7, 16, 25 increases by 9
8, 17, 26 increases by 9
9, 16, 23 increases by 7
9, 17, 25 increases by 8