Use Mathematical Induction to Prove the Following for Every Positive $n$

question 30

Essay

Use mathematical induction to prove the following for every positive integer $n$ .
$1 + 3 + 9 + 27 + \ldots + 3 ^ { n - 1 } = \frac { 3 ^ { n } - 1 } { 2 }$

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Definitions:

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Repetitive Transcranial Magnetic

A non-invasive method used to stimulate small regions of the brain, often used in treating depression and other disorders.

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