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kiruha [24]
3 years ago
11

Prove this conjecture

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Consider the natural number n(n+1)(n+2).

If n is the natural number, then n+1, \ n+2 are next two natural numbers, so numbers n,\ n+1 and n+2 are three consecutive numbers.

Given three consecutive natural numbers, one of them is always even number and one of them is always multiple of 3, so the product

n(n+1)(n+2)

is divisible by 6.

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