巧算12345×6789-12346×6788

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巧算12345×6789-12346×6788

巧算12345×6789-12346×6788
巧算12345×6789-12346×6788

巧算12345×6789-12346×6788
=12345×(6788+1)-(12345+1)×6788
=12345×6788+12345×1-12345×6788-1×6788
=12345-6788
=5557

等比数列
所以原式=(1+i)*[1-(1+i)^20]/[1-(1+i)]
(1+i)²=1+2i-1=2i
所以原式=(1+i)*[1-(2i)^10]/(-i)
=(1+i)(1+1024)/(-i)
=-1025(1+i)*i/i²
=1025i-1025