Mathematics, 01.09.2021 14:00 ayoismeisjjjjuan

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

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