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Prove that one out of every three consecutive integers is a multiple of 3?
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Prove that one out of every three consecutive integers is a multiple o...
This can be prove by the theorem that product of n consecutive numbers are divisible by n factorial
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Prove that one out of every three consecutive integers is a multiple o...
Just for instance for you understandingTake three consecutive integers i.e., x, x+1, x+2 take different values of x one by one .Firstly, take x=1,then 1st no will be obviously 1,second no Will be 2 and, the third will be 3 ..now check these consecutive no.s there is only 1 out of these three consecutive no. that is divisible by 3.again take x=2 ,then the first no is 2 ,second no. is 3 and the third no. is 4 now only of these that is 3 is divisible by 3 now take some other value of x and show that only 1 of them is divisible by 3 you need to show it by taking value of x three times
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Prove that one out of every three consecutive integers is a multiple of 3?
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