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I have a list of numbers where the first number is 1 and the 5th number is 5. each of the other numbers is equal to one more than the average of its two neighbors. What is the sum of all five numbers in the list?

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I have a list of numbers where the first number is 1 and the 5th number is 5. each of the other numb...

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I have a list of numbers where the first number is 1 and the 5th number is 5. each of the other numbers is equal to one more than the average of its two neighbors. What is the sum of all five numbers in the list?​

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Another question on Mathematics

I have a list of numbers where the first number is 1 and the 5th number is 5. each of the other numbers is equal to one more than the average of its two neighbors. What is the sum of all five numbers in the list?