Mathematics, 30.08.2021 06:40 keke830

Find the sum Sn below: $\displaystyle \large{S =1 \cdot 1 + 2 \cdot 5 + 3 \cdot {5}^{2} + 4 \cdot {5}^{3} + ... + n \cdot {5}^{n - 1} }$
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Find the sum Sn below: Please show your work too. Thanks!​

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Another question on Mathematics

Find the sum Sn below: $\displaystyle \large{S =1 \cdot 1 + 2 \cdot 5 + 3 \cdot {5}^{2} + 4 \cdot {5}^{3} + ... + n \cdot {5}^{n - 1} }$
Please show your work too. Thanks!