1²+(1×2)²+2²=9=3² 2²+(3×2)²+3²=49=7²的规律
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![1²+(1×2)²+2²=9=3² 2²+(3×2)²+3²=49=7²的规律](/uploads/image/z/1664171-35-1.jpg?t=1%26%23178%3B%2B%281%C3%972%29%26%23178%3B%2B2%26%23178%3B%3D9%3D3%26%23178%3B+2%26%23178%3B%2B%283%C3%972%29%26%23178%3B%2B3%26%23178%3B%3D49%3D7%26%23178%3B%E7%9A%84%E8%A7%84%E5%BE%8B)
1²+(1×2)²+2²=9=3² 2²+(3×2)²+3²=49=7²的规律
1²+(1×2)²+2²=9=3² 2²+(3×2)²+3²=49=7²的规律
1²+(1×2)²+2²=9=3² 2²+(3×2)²+3²=49=7²的规律
n²+[n(n+1)]²+(n+1)²
=[(n+1)²-2n(n+1)+n²]+2n(n+1)+[n(n+1)]²
=(n+1-n)²+2n(n+1)+[n(n+1)]²
=1²+2n(n+1)+[n(n+1)]²
=[1+n(n+1)]²
规律通式:n²+(nX(n+1))²+(n+1)²