3分之2x+15分之2x+········+40160015分之2x=2004,求X等于多少

问题描述:

3分之2x+15分之2x+········+40160015分之2x=2004,求X等于多少

x(2/1×3+2/3×5+2/5×7+……+2/2003×2005)=2004
x(1-1/3+1/3-1/5+1/5-1/7+……+1/2003-1/2005)=2004
2004x/2005=2004
x=2005