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Use the Principle of Mathematical Induction to Show That the Mathematical

Question 181

Essay

Use the principle of mathematical induction to show that the mathematical statement is true for all natural numbers n.
- Sn:5+56+536+…+56n−1=6(1−16n)S _ { n } : 5 + \frac { 5 } { 6 } + \frac { 5 } { 36 } + \ldots + \frac { 5 } { 6 ^ { n - 1 } } = 6 \left( 1 - \frac { 1 } { 6 ^ { n } } \right)

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\[\begin{array} { l }
5 + \frac { 5 } {...

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