12 positive integers are written in a row. The fourth number is 4, and the 12 number is 12. The sum of any three neighboring numbers is 333.Determine the twelve integers
You have the numbers:
You know that:
Solve to get:
You also know that:
Solve to get:
Therefore:
Using the same method you get that:
So you know that:
Substitute:
Solve:
Note that:
Solve:
Therefore:
Using the same methods above you'll find that:
Remember that:
Substitute:
Then:
So the pattern is: