Que: If the sum of 5 consecutive integers is 0, what is the greatest of the 5 integers?
A. -2
B. -1
C. 0
D. 1
E. 2
Que: If the sum of 5 consecutive integers is 0, what is the greatest 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 greatest of the 5 consecutive integers: n+2=0+2=2
Therefore, E is the correct answer.
Answer E
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 greatest of the 5 consecutive integers: n+2=0+2=2
Therefore, E is the correct answer.
Answer E
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Solution:Max@Math Revolution wrote: ↑Tue Apr 13, 2021 12:26 amQue: If the sum of 5 consecutive integers is 0, what is the greatest of the 5 integers?
A. -2
B. -1
C. 0
D. 1
E. 2
If the sum of 5 consecutive integers is 0, the average, or the median, of the 5 integers is also 0. Since 0 is the 3rd integer in the set, then the greatest integer (or the 5th integer) is 2.
Answer: E
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