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, 2024 Difficulty 2.0 Junior Find the answer United Kingdom
Which one of the following expressions is a square number for each positive integer n n n
(A) n + 1 n+1 n + 1 n ( n + 1 ) + 1 n(n+1)+1 n ( n + 1 ) + 1 n ( n + 1 ) ( n + 2 ) + 1 n(n+1)(n+2)+1 n ( n + 1 ) ( n + 2 ) + 1 n ( n + 1 ) ( n + 2 ) ( n + 3 ) + 1 n(n+1)(n+2)(n+3)+1 n ( n + 1 ) ( n + 2 ) ( n + 3 ) + 1 n ( n + 1 ) ( n + 2 ) ( n + 3 ) ( n + 4 ) + 1 n(n+1)(n+2)(n+3)(n+4)+1 n ( n + 1 ) ( n + 2 ) ( n + 3 ) ( n + 4 ) + 1
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