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# Let n be the middle number of three consecutive integers

##### Administrator

**Staff member**

Let n be the middle number of three consecutive integers

This means:

- n is the second of three consecutive integers
- The first consecutive integer is n - 1
- The third consecutive integer is n + 1

The sum is found by:

n - 1 + n + n + 1

Simplifying, we get:

(n + n + n) + 1 - 1

**3n**