2²/1×3+4²/3×5+6²/5×7+8²/7×9+……+2010²
来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/05/01 01:18:09
2²/1×3+4²/3×5+6²/5×7+8²/7×9+……+2010²/2009×2011
2²/1×3+4²/3×5+6²/5×7+8²/7×9+……+2010²/2009×2011
=2^2/(2^2-1)+4^2/(4^2-1)+6^2/(6^2-1)+...+2010^2/(2010^2-1)
=1+1/(2^2-1)+1+1/(4^2-1)+...+1+1/(2010^2-1)
=1005+1/1*3+1/3*5+1/5*7+...+1/2009*2011
=1005+1/2(1/1-1/3+1/3-1/5+...+1/2009-1/2011)
=1005+1/2(1-1/2011)
=1005又1005/2011
=2^2/(2^2-1)+4^2/(4^2-1)+6^2/(6^2-1)+...+2010^2/(2010^2-1)
=1+1/(2^2-1)+1+1/(4^2-1)+...+1+1/(2010^2-1)
=1005+1/1*3+1/3*5+1/5*7+...+1/2009*2011
=1005+1/2(1/1-1/3+1/3-1/5+...+1/2009-1/2011)
=1005+1/2(1-1/2011)
=1005又1005/2011
2²/1×3+4²/3×5+6²/5×7+8²/7×9+……+2010²
1²-2²+3²-4²+5²-6²+7²-8
(1-2²)+3²-4²+5²-6²+7²-8²+
2²/1*3+4²/3*5+6²/5*7+8²/7*9+10²/9*1
10²-9²+8²-7²+6²-5²+4²-3
求和:1²-2²+3²-4²+5²-6²+…+99²
2²/1×3+4²/3×5+6²/5×7+8²/7×9+...+20²
(1²+3²+5²+……+99²)-(2²+4²+6
求值(2²+4²+6²+……+2000²)-(1²+3²+5
计算1-2²+3²-4²+5²-6²+…+99²-100
2²/1×3+4²/3×5+6²/5×7+…+20²/19×21怎么简算?
3²/2×4+5²/4×6+7²/6×8+9²/8×10+11²/10