Que: If the sum of 5 consecutive integers is 0, what is the least of the 5 integers?

[Max@Math Revolution]

Que: If the sum of 5 consecutive integers is 0, what is the least of the 5 integers?

A. -2
B. -1
C. 0
D. 1
E. 2

[Max@Math Revolution]

Solution: Consecutive integers: Integers that are placed next to each other on number line =>…, n-2, n-1, n, n+1, n+2, …

We have to find the greatest integer of 5 consecutive integers if their sum is 0

=> 5 consecutive integers: n-2, n-1, n, n+1, n+2

=> (n-2)+(n-1)+n+(n+1)+(n+2)=0

=> 5n=0 = n=0

=> ∴ The least of the 5 consecutive integers: n-2=0-2=-2

Therefore, A is the correct answer.

Answer A