1+2+2²+2³+·········+2的63次方 实数
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![1+2+2²+2³+·········+2的63次方 实数](/uploads/image/z/1995871-31-1.jpg?t=1%2B2%2B2%26%23178%3B%2B2%26%23179%3B%2B%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%2B2%E7%9A%8463%E6%AC%A1%E6%96%B9+%E5%AE%9E%E6%95%B0)
1+2+2²+2³+·········+2的63次方 实数
1+2+2²+2³+·········+2的63次方 实数
1+2+2²+2³+·········+2的63次方 实数
这是求等比数列之和
公式为Sn=a1(1-q^n)/(1-q)
此式中a1=1,q=2,n为总项数
所以1+2+2²+2³+·········+2的63次方
=1+2+2²+2³+·········+2的63次方
=1×(1-2^64)/(1-2)
=2^64-1