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Prove that the product of 4 consecutive integers is 1 less than a perfect square.
 2 years ago
 2 years ago
Prove that the product of 4 consecutive integers is 1 less than a perfect square.
 2 years ago
 2 years ago

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FoolForMathBest ResponseYou've already chosen the best response.4
what have you tried?
 2 years ago

ZombiePigBest ResponseYou've already chosen the best response.0
oops type0! :( \[n(n+1)(n+2)(n+3)\]
 2 years ago

2bornot2bBest ResponseYou've already chosen the best response.0
Tried many things in vain
 2 years ago

FoolForMathBest ResponseYou've already chosen the best response.4
Kidds stuffs, Let the consecutive integers be \( (n  1), n, (n + 1), (n + 2) \) Expanding: \[n^4 + 2n^3  n^2  2n= (n^2 + n  1)^21 \]
 2 years ago
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