gypsybrio3169 gypsybrio3169 11-03-2024 Mathematics contestada Prove that Σ(n=1)^[infinity] (n-1)/(2ⁿ⁺¹)=(1)/(2) (Hint: (k-1)/(2ᵏ⁺¹)=(k)/(2ᵏ)-(k+1)/(2ᵏ⁺¹) .)