已知:1^2+2^2+3^2+…n^2=1/6n(n+1)(2n+1),求2^2+4^2+6^2+8^2+…+50^2的
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已知:1^2+2^2+3^2+…n^2=1/6n(n+1)(2n+1),求2^2+4^2+6^2+8^2+…+50^2的值
![已知:1^2+2^2+3^2+…n^2=1/6n(n+1)(2n+1),求2^2+4^2+6^2+8^2+…+50^2的](/uploads/image/z/5077832-32-2.jpg?t=%E5%B7%B2%E7%9F%A5%3A1%5E2%2B2%5E2%2B3%5E2%2B%E2%80%A6n%5E2%3D1%2F6n%28n%2B1%29%282n%2B1%29%2C%E6%B1%822%5E2%2B4%5E2%2B6%5E2%2B8%5E2%2B%E2%80%A6%2B50%5E2%E7%9A%84)
1^2+2^2+…+n^2=1/6n(n+1)(2n+1),
则:
2^2+4^2+…+50^2
=2^2(1^2+2^2+……+25^2)
=22100
则:
2^2+4^2+…+50^2
=2^2(1^2+2^2+……+25^2)
=22100
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