观察下列等式:1^2-0^2=1,2^2-1^2=3,3^2-2^2=5,4^2-3^2=7……则第n个等式可表示为:
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![观察下列等式:1^2-0^2=1,2^2-1^2=3,3^2-2^2=5,4^2-3^2=7……则第n个等式可表示为:](/uploads/image/z/5227948-28-8.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E7%AD%89%E5%BC%8F%EF%BC%9A1%5E2-0%5E2%3D1%2C2%5E2-1%5E2%3D3%2C3%5E2-2%5E2%3D5%2C4%5E2-3%5E2%3D7%E2%80%A6%E2%80%A6%E5%88%99%E7%AC%ACn%E4%B8%AA%E7%AD%89%E5%BC%8F%E5%8F%AF%E8%A1%A8%E7%A4%BA%E4%B8%BA%EF%BC%9A)
观察下列等式:1^2-0^2=1,2^2-1^2=3,3^2-2^2=5,4^2-3^2=7……则第n个等式可表示为:
观察下列等式:1^2-0^2=1,2^2-1^2=3,3^2-2^2=5,4^2-3^2=7……
则第n个等式可表示为:
观察下列等式:1^2-0^2=1,2^2-1^2=3,3^2-2^2=5,4^2-3^2=7……则第n个等式可表示为:
n^2-(n-1)^2=2*n-1
理由是:n^2-(n-1)^2=[n-(n-1)]*[n+(n-1)]=2*n-1
n^2-(n-1)^2=2n-1
n^2-(n-1)^2=2*n-1
理由是:n^2-(n-1)^2=[n-(n-1)]*[n+(n-1)]=2*n-1