是(1²+2²)/1×2+(2²+3²)/2×3+······+(2003²+2004²)/2003×2004=吗?
原式=1/2+2/1+2/3+3/2+3/4+4/3+……+2003/2004+2004/2003
=2/1+(1+3)/2+(2+4)/3+……+(2002+2004)/2003+2003/2004
=2*2003+2003/2004
=4007-1/2004
=8030027/2004
是(1²+2²)/1×2+(2²+3²)/2×3+······+(2003²+2004²)/2003×2004=吗?
原式=1/2+2/1+2/3+3/2+3/4+4/3+……+2003/2004+2004/2003
=2/1+(1+3)/2+(2+4)/3+……+(2002+2004)/2003+2003/2004
=2*2003+2003/2004
=4007-1/2004
=8030027/2004