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Use Mathematical Induction to Prove the Given Statement for All 23+29+227++23n=1(13)n\frac { 2 } { 3 } + \frac { 2 } { 9 } + \frac { 2 } { 27 } + \ldots + \frac { 2 } { 3 ^ { n } } = 1 - \left( \frac { 1 } { 3 } \right) ^ { n }

question 195

Short Answer

Use mathematical induction to prove the given statement for all positive integers n.
- 23+29+227++23n=1(13)n\frac { 2 } { 3 } + \frac { 2 } { 9 } + \frac { 2 } { 27 } + \ldots + \frac { 2 } { 3 ^ { n } } = 1 - \left( \frac { 1 } { 3 } \right) ^ { n }

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