剑匠疾风乙寿命:从2的1次方加到2的100次方是多少
来源:百度文库 编辑:高考问答 时间:2024/06/03 01:12:39
2+2^2+2^3+...+2^100
=2+2+2^2+2^3+...+2^100-2
=2^2+2^2+2^3+...+2^100-2
=2^3+2^3+...+2^100-2
=...
=2^100+2^100-2
=2^101-2
2(2^100-1)
2+2^2+2^3+...+2^100
=2+2+2^2+2^3+...+2^100-2
=2^2+2^2+2^3+...+2^100-2
=2^3+2^3+...+2^100-2
=...
=2^100+2^100-2
=2^101-2
2(2^100-1)