我县确定一下
m=n*0.1+(n-1)*0.1*(1-0.1)+(n-2)*0.1*(1-0.1)^2+.+1*0.1*(1-0.1)^(n-1)这样是吗?
0.9m= n*0.1*(1-0.1)+(n-1)*0.1*(1-0.1)^2+……+2*0.1*(1-0.1)^(n-1)+1*0.1*(1-0.1)^n
上下相减,m-0.9m=n*0.1-0.1*(0.9+0.9^2+……+0.9^(n-1))-1*0.1*(1-0.1)^n
=n*0.1-0.1*(0.9+0.9^2+……+0.9^(n-1)+0.9^n
=0.1n-0.1*(0.9*(1-0.9^n)/(1-0.9)) (等比数列求和这个会吧)
=0.1n-0.9(1-0.9^n)
m=n-9(1-0.9^n)