
2个回答
2007-10-13
展开全部
2减去2的2次方,减去2的3次方,减去2的4次方,减去。。。,减去2的18次方,加上2的19次方
=2^1-2^2-2^3-2^4-...-2^18+2^19
=2+2^19-(2^2+2^3+2^4+...+2^18)
=2+(2^19-2^18)-(2^2+2^3+2^4+...+2^17)
=2+2^18-(2^2+2^3+2^4+...+2^17)
=2+(2^18-2^17)-(2^2+2^3+2^4+...+2^16)
=2+2^17-(2^2+2^3+2^4+...+2^16)
=2+.......
=2+(2^4-2^3)-2^2
=2+2^3-2^2
=2+8-4
=6
=2^1-2^2-2^3-2^4-...-2^18+2^19
=2+2^19-(2^2+2^3+2^4+...+2^18)
=2+(2^19-2^18)-(2^2+2^3+2^4+...+2^17)
=2+2^18-(2^2+2^3+2^4+...+2^17)
=2+(2^18-2^17)-(2^2+2^3+2^4+...+2^16)
=2+2^17-(2^2+2^3+2^4+...+2^16)
=2+.......
=2+(2^4-2^3)-2^2
=2+2^3-2^2
=2+8-4
=6
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