SOLUTION: The given consecutive integers are 4,5, and 6. If I square the 2nd integer, the answer will be 25. Then, if I multiply the 1st and 3rd integer, the answer will be 24, Which is 1 nu

Question 772378: The given consecutive integers are 4,5, and 6. If I square the 2nd integer, the answer will be 25. Then, if I multiply the 1st and 3rd integer, the answer will be 24, Which is 1 number less that the squared integer. That happens every time I do the same method in consecutive integers. How is that possible?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Interesting question!
Try to generalize and try the same process.

Three consecutive integers, n, n+1, n+2.

SQUARE THE SECOND INTEGER.

MULTIPLY THE FIRST AND THIRD INTEGERS.

FIND THE DIFFERENCE BETWEEN THOSE TWO RESULTS.

n can be ANY integer. The process will still work.
RELATED QUESTIONS
I have 5 questions 1) if x + 9 is an even integer, is x an even or odd integer? what... (answered by CubeyThePenguin)

Find 5 consecutive integers if the square of the 1st is less the square of the 3rd is... (answered by Mathtut)

The square of the sum of two consecutive integers is 529. What are the integers? x =... (answered by scott8148)

I cannot figure out how to write the equation for this word problem. "If the 1st and... (answered by josgarithmetic)

I am thinking of two consecutive integers. The difference between the square of the... (answered by swincher4391)

I need to pass the real test. So can someone please tell me if i got these questions... (answered by Alan3354)

there are three consecutive odd integers. if we take the difference of the third and the... (answered by josgarithmetic)

there are three consecutive odd integers. if we take the difference of the third and the (answered by josgarithmetic)

there are three consecutive odd integers. if we take the difference of the third and the... (answered by josgarithmetic,MathTherapy)