Question

Choose the equation that could be used to find three consecutive integers whose sum is 75.

n + (n + 1) + (n + 2) = 75

n + (n + 2) + (n + 4) = 75

n + (n + 1) + (n + 3) = 75

n + (n − 1) + (n − 3) = 75

Answer 1

n + (n + 1) + (n + 2) = 75 this is the required answer

Answer 2

Consecutive integers differ by one; consecutive even (or odd) integers differ by two. That means consecutive integers can be shown as n, n+1, n+2,..., while consecutive even (or odd) integers need to be shown n, n+2, n+4, ...

Answer 3

The third and fourth options describe situations that are neither of the ones I described.