18/06/30 08:15:10.56 lmv1fokQ.net
a=1/10, b=2/10, c=3/10, d=4/10 とおくと、>>514 より
Σ[k=4,n] k・a・(1-a)^(k-1) = (3 + 1/a)・(1-a)^3 - (n + 1/a)・(1-a)^n,
Σ[k=4,n] k・b・(1-b)^(k-1) = (3 + 1/b)・(1-b)^3 - (n + 1/b)・(1-b)^n,
Σ[k=4,n] k・c・(1-c)^(k-1) = (3 + 1/c)・(1-c)^3 - (n + 1/c)・(1-c)^n,
Σ[k=4,n] k・d・(1-d)^(k-1) = (3 + 1/d)・(1-d)^3 - (n + 1/d)・(1-d)^n,
n→∞ のとき (3 + 1/a)・(1-a)^3 + (3 + 1/b)・(1-b)^3 + (3 + 1/c)・(1-c)^3 + (3 + 1/d)・(1-d)^3