Question

if n is an even natural number then the largest natural by which n×n+1 is divisible​

Answer 1

n, n + 1 and n + 2 are three consecutive positive integers. When n = 2, n (n + 1) (n + 2) = 2 (2 + 1)(2 + 2) = 2 × 3 × 4 = 24. Thus, n (n + 1) (n + 2) is divisible by 24.

Answer 2

Answer:

Thus, n (n + 1) (n + 2) is divisible by 24.

Step-by-step explanation:

n, n + 1 and n + 2 are three consecutive positive integers. When n = 2, n (n + 1) (n + 2) = 2 (2 + 1)(2 + 2) = 2 × 3 × 4 = 24.

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