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
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Que: If the sum of 5 consecutive integers is 0, what is the least of the 5 integers?
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Max@Math Revolution
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Max@Math Revolution
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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
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
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