December 2019 1 158 Report
Propriedades dos somatórios:

Sabendo que

\mathsf{\displaystyle\sum_{k=0}^n} k · 10^k = (1/81) · [(9n – 1) · 10^(n + 1) + 10],

obtenha uma fórmula fechada para

\mathsf{\displaystyle\sum_{k=0}^n} k · 10^(– k).
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