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Use Mathematical Induction to Prove the Following for Every Positive nn

Question 28

Essay

Use mathematical induction to prove the following for every positive integer nn .
1+6+36+216+…+6n−1=6n−151 + 6 + 36 + 216 + \ldots + 6 ^ { n - 1 } = \frac { 6 ^ { n } - 1 } { 5 }

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