Question

Prove or Disprove ∀n∈Z: n+n2+n3∈Zodd→n∈Zodd

Answer 1

The given statement is true: if n + n^2 + n^3 is an odd number, then n is an odd number.

Step-by-step explanation:

To prove or disprove the given statement, we need to understand that an odd number plus an odd number will always result in an even number. Therefore, if n + n^2 + n^3 is an odd number, it implies that n is an odd number. Hence, the statement is true.