已知1²+2²+3²+…25²=5525,那么2²+4²+6²…+50²=?
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![已知1²+2²+3²+…25²=5525,那么2²+4²+6²…+50²=?](/uploads/image/z/14335427-11-7.jpg?t=%E5%B7%B2%E7%9F%A51%26%23178%3B%2B2%26%23178%3B%2B3%26%23178%3B%2B%E2%80%A625%26%23178%3B%3D5525%2C%E9%82%A3%E4%B9%882%26%23178%3B%2B4%26%23178%3B%2B6%26%23178%3B%E2%80%A6%2B50%26%23178%3B%3D%3F)
已知1²+2²+3²+…25²=5525,那么2²+4²+6²…+50²=?
已知1²+2²+3²+…25²=5525,那么2²+4²+6²…+50²=?
已知1²+2²+3²+…25²=5525,那么2²+4²+6²…+50²=?
2²+4²+6²…+50²
=(2*1)²+(2*2)²+(2*3)²…+(2*25)²
=4*(1²+2²+3²+…25²)
=4*5525
=22100
2²+4²+6²…+50²
=(2×1)²+(2×2)²+..+(2×25)²
=4(1²+2²+3²+..)
=2×5525
=22100
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2²+4²+6²…+50²
=(2×1)²+(2×2)²+..+(2×25)²
=4(1²+2²+3²+..)
=2×5525
=22100
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如若满意,请点击[满意答案];如若您有不满意之处,请指出,我一定改正!
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原式=(2×1)²+(2×2)²+……+(2×25)²
=2²×1²+2²×2²+……+2²×25²
=2²×(1²+2²+……+25²)
=4×5525
=22100