找规律:1×2×3×4+1=25=5² 2×3×4×5+1=121=11² 3×4×5×6+1=找规律:1×2×3×4+1=25=5²2×3×4×5+1=121=11²3×4×5×6+1=361=19²猜想:n（n+1）(n+2)(n+3)+1=?

找规律:1×2×3×4+1=25=5² 2×3×4×5+1=121=11² 3×4×5×6+1=找规律:1×2×3×4+1=25=5²2×3×4×5+1=121=11²3×4×5×6+1=361=19²猜想:n（n+1）(n+2)(n+3)+1=?
找规律:1×2×3×4+1=25=5² 2×3×4×5+1=121=11² 3×4×5×6+1=
找规律:
1×2×3×4+1=25=5²
2×3×4×5+1=121=11²
3×4×5×6+1=361=19²
猜想:
n（n+1）(n+2)(n+3)+1=?

找规律:1×2×3×4+1=25=5² 2×3×4×5+1=121=11² 3×4×5×6+1=找规律:1×2×3×4+1=25=5²2×3×4×5+1=121=11²3×4×5×6+1=361=19²猜想:n（n+1）(n+2)(n+3)+1=?
n（n+1）(n+2)(n+3)+1=(n²+3n+1)²
此题若仍有疑问,欢迎追问!

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

(n方+3n+1)方

=[n（n+3）+1]的平方