SOLUTION: Show that one out of n,n+3,n+6,n+9 is divisible by n when n is a natural number?
Algebra.Com
Question 755327: Show that one out of n,n+3,n+6,n+9 is divisible by n when n is a natural number?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
In order to make the divisible by
claim in general, you must define the Natural numbers as the positive integers. Your premise is generally false given that it is possible for the set of Natural numbers to have 0 as an element. See Wikipedia: In mathematics, a natural number is either a positive integer (1, 2, 3, 4, …) or a non-negative integer (0, 1, 2, 3, 4, …). The former definition is generally used in number theory, while the latter is preferred in set theory and computer science.
However, you can say:
John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Show that only one of the numbers n, n+2, n+4 is divisible by... (answered by solver91311)
Show that one and only one out of n, n+2 and n+4 is divisible by 3, where ‘n’ is any... (answered by ewatrrr)
Show that one and only one out of n, n+2 and n+4 is divisible by 3, where ‘n’ is any... (answered by richard1234)
Show that one and only one out of n, n+2, n+4 is divisible by 3, where n is any positive... (answered by ewatrrr)
show that only one out of n, n+2 or n+4 is divisible by 3 where n is positive... (answered by Edwin McCravy)
Prove that one and only one out of n,n+4,n+8,n+12 and n+16 is divisible by 5,where n is... (answered by math_helper)
Find number of positive integers n such that n+2n^2+3n^3+...+2019n^2019
is divisible by... (answered by ikleyn)
Prove that n^5 − n is divisible by 5 for any natural... (answered by richard1234)
Prove that n^8 − n^4 is divisible by 5 for any natural... (answered by robertb,ikleyn)