The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
<h3>How to check that the series meets the requirements?</h3>
To verify that the series meets the requirements, we must establish what the requirements are:
- Every 3 consecutive numbers must add up to 19.
- In total there must be 14 numbers.
- The total sum of all the numbers must be 77.
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
- 5 + 6 + 8 = 19
- 9 + 4 + 6 = 19
- 7 + 3 + 9 = 19
- 2 + 8 + 9 = 19
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
Learn more about numbers in: brainly.com/question/17429689
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