已知数列an满足a1=0,an+1=an+2n那么a2010的值是悬赏财富10
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![已知数列an满足a1=0,an+1=an+2n那么a2010的值是悬赏财富10](/uploads/image/z/4500728-8-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97an%E6%BB%A1%E8%B6%B3a1%3D0%2Can%2B1%3Dan%2B2n%E9%82%A3%E4%B9%88a2010%E7%9A%84%E5%80%BC%E6%98%AF%E6%82%AC%E8%B5%8F%E8%B4%A2%E5%AF%8C10)
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已知数列an满足a1=0,an+1=an+2n那么a2010的值是悬赏财富10
已知数列an满足a1=0,an+1=an+2n那么a2010的值是
悬赏财富10
已知数列an满足a1=0,an+1=an+2n那么a2010的值是悬赏财富10
由an+1=an+2n
所以an+1-an=2n
an-an-1=2(n-1)
……
a2-a1=2
上式两边相加,an+1-a1=n(2+n)/2
所以an=2n^2-2n/2
a2010=2010*2009
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