Question

17. The sum of three consecutive integers is three times the second integer.

Show that this is true for the three consecutive integers 7, 8, and 9.
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Set up an equation that models this statement.
Show, by solving the equation, that this equation will always be true for any three consecutive integers.

Answer 1

By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.

Explanation:

Answer 2

Explanation:

7+8+9=24.

8 is the second integer and 8*3=24.