Question

观察下列运算并填空1×2×3×4+1=25=52； 2×3×4×5+1=121=112； 3×4×5×6+1=361=192

根据以上结果，猜想：(n+1)(n+2)(n+3)(n+4)+1=_____________

Answer 1

(n+1)(n+2)(n+3)(n+4)+1=[(n+2)(n+3)-1]^2