1/1*3+1/3*5+1/5*7+1/7*9+.1/19*21怎么算
2个回答
1/n(n+2)=[1/n-1/(n+2)]/2裂项
所求和=1/2(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+…1/19-1/20)=19/40
相关问题
请问,1/(1*3)+1/(3*5)+1/(5*7)+……+1/(17*19)+1/(19*21)怎么计算?
1/3+1/3*5+1/5*7+.+1/19*21
1+3+5+7+···+21+23+21+19+17+···+7+5+3+1=?
计算1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+.+1/(19×21)
1/3*1+1/3*5+1/5*7+A+1/17*19+1/19*21
1/2*[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+……+(1/17-1/19)]怎么
1*1/3+1/3*5+1/5*7+……+1/17*19+1/19*21要过程啊!
简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
1/1*3+1/3*5+1/5*7+...+1/19*21+1/21*23=( )的规律和答案
1、2/9*(-5/21)-7/9*5/21 -5/3*1/7 2、 -2²-[(-1/2)³]&s