计算:1+2+2²+2³+…+2的2011次方 S=1+2+2²+2³+…+2的2011次方,计算:1+2+2²+2³+…+2的2011次方S=1+2+2²+2³+…+2的2011次方,则2S=2+2×2+2×2²+2×2³+…+2×2的2011次方=2+2²+2³
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![计算:1+2+2²+2³+…+2的2011次方 S=1+2+2²+2³+…+2的2011次方,计算:1+2+2²+2³+…+2的2011次方S=1+2+2²+2³+…+2的2011次方,则2S=2+2×2+2×2²+2×2³+…+2×2的2011次方=2+2²+2³](/uploads/image/z/1267165-37-5.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A1%2B2%2B2%26%23178%3B%2B2%26%23179%3B%2B%E2%80%A6%2B2%E7%9A%842011%E6%AC%A1%E6%96%B9+S%3D1%2B2%2B2%26%23178%3B%2B2%26%23179%3B%2B%E2%80%A6%2B2%E7%9A%842011%E6%AC%A1%E6%96%B9%2C%E8%AE%A1%E7%AE%97%EF%BC%9A1%2B2%2B2%26%23178%3B%2B2%26%23179%3B%2B%E2%80%A6%2B2%E7%9A%842011%E6%AC%A1%E6%96%B9S%3D1%2B2%2B2%26%23178%3B%2B2%26%23179%3B%2B%E2%80%A6%2B2%E7%9A%842011%E6%AC%A1%E6%96%B9%2C%E5%88%992S%3D2%2B2%C3%972%2B2%C3%972%26%23178%3B%2B2%C3%972%26%23179%3B%2B%E2%80%A6%2B2%C3%972%E7%9A%842011%E6%AC%A1%E6%96%B9%3D2%2B2%26%23178%3B%2B2%26%23179)
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计算:1+2+2²+2³+…+2的2011次方 S=1+2+2²+2³+…+2的2011次方,计算:1+2+2²+2³+…+2的2011次方S=1+2+2²+2³+…+2的2011次方,则2S=2+2×2+2×2²+2×2³+…+2×2的2011次方=2+2²+2³
计算:1+2+2²+2³+…+2的2011次方 S=1+2+2²+2³+…+2的2011次方,
计算:1+2+2²+2³+…+2的2011次方
S=1+2+2²+2³+…+2的2011次方,
则2S=2+2×2+2×2²+2×2³+…+2×2的2011次方
=2+2²+2³+2的4次方+…+2的2012次方
两式相减得2S-S=(2+2²+2³+…+2的2012次方)-(1+2+2²+…+2的2011次方)
即S=2的2012次方-1
你能计算1+5²+5³+…+5的100次方的值吗?
计算:1+2+2²+2³+…+2的2011次方 S=1+2+2²+2³+…+2的2011次方,计算:1+2+2²+2³+…+2的2011次方S=1+2+2²+2³+…+2的2011次方,则2S=2+2×2+2×2²+2×2³+…+2×2的2011次方=2+2²+2³