23/01/21 15:11:28.15 W9d7ULf2.net
>>44
訂正(文字通り蛇足だったw)
a[k]= 2/(k*2^k) - 2/((k+1)*2^(k+1))
b[k]= 2/(k*2^k)とおくと
a[k]=b[k]-b[k+1]
Σ[k=1:n] a[k] = Σ (b[k]-b[k+1])
=b[1]-b[2]+b[2]-b[3]+b[3]-b[4]+....-b[n+1]
=b[1]-b[n+1]
=1- 2/((n+1)*2^(n+1))
=1- 1/((n+1)*2^(n))