SOLUTION: The sum of the squares of 6 consecutive integers is 1111. What are the integers? (once again, explain your reasoning).
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Question 163472: The sum of the squares of 6 consecutive integers is 1111. What are the integers? (once again, explain your reasoning).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's call the first integer, N.
the next 5 consecutive integers would be
and their squares would be,
Now add them together,
You know the sum of the squares equals 1111.
Two solutions.
.
.
.
The integers are then 11,12,13,14,15,16.
.
.
.
The integers are then -16,-15,-14,-13,-12,-11.
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