1*2*3*4+1=25=5² 2*3*4*5+1=121=11² (n+1)(n+2)(n+3)(n+4)+1=?²
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/23 15:54:20
![1*2*3*4+1=25=5² 2*3*4*5+1=121=11² (n+1)(n+2)(n+3)(n+4)+1=?²](/uploads/image/z/651356-44-6.jpg?t=1%2A2%2A3%2A4%2B1%3D25%3D5%26%23178%3B+2%2A3%2A4%2A5%2B1%3D121%3D11%26%23178%3B+%28n%2B1%29%28n%2B2%29%EF%BC%88n%2B3%EF%BC%89%EF%BC%88n%2B4%EF%BC%89%2B1%3D%3F%26%23178%3B)
1*2*3*4+1=25=5² 2*3*4*5+1=121=11² (n+1)(n+2)(n+3)(n+4)+1=?²
1*2*3*4+1=25=5² 2*3*4*5+1=121=11² (n+1)(n+2)(n+3)(n+4)+1=?²
1*2*3*4+1=25=5² 2*3*4*5+1=121=11² (n+1)(n+2)(n+3)(n+4)+1=?²
(n+1)(n+2)(n+3)(n+4)+1
=[(n+1)(n+4)][(n+2)(n+3)]+1
=(n²+5n+4)(n+5n+6)+1
=(n²+5n+5)²