this is a more open ended task that can involve a range of numbers, fractions, decimals and negatives
overall rules can be sought (they are easy to find)
and proved
a powerpoint is here
a similar task (or an extension) is when the red numbers are the average of those either side of them
the powerpoint for this is here
first extension: find the invariant number for a particular set of 3 totals
second extension: what happens if the totals are in sequence (same difference sequences)?
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