Question

计算：3²/2×4+5²/4×6+7²/6×8+9²/8×10+11²/10×12

要过程和思路，简便计算（裂项相消）

Answer 1

3²/2×4+5²/4×6+7²/6×8+9²/8×10+11²/10×12
=5+1/2×4+1/4×6+1/6×8+1/8×10+1/10×12
=5+（1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/10-1/12）÷2
=5+（1/2-1/12）÷2=5+5/24
=5又5/24

Answer 2

3²/2×4+5²/4×6+7²/6×8+9²/8×10+11²/10×12
=9/2×4+25/4×6+49/6×8+81/8×10+121/10×12
=18+75/2+196/3+405/4+726/5
=18+37+1/2+65+1/3+101+1/4+145+1/5
=377+17/60

Answer 3

不知