ONE
All Portugal
Númas
EN
Sign in
← Back to the programme
Olympiad
Easy
Proofs
7–9
If
n
is even, is
n^{2}
even or odd?
Se
n
é par,
n^{2}
é par ou ímpar?
Answer options
A.
Sometimes even
B.
Always even
C.
Always odd
D.
Depends on n
Check Answer
Solution
If
n = 2k
, then
n^{2} = 4k^{2}
, which is even.