Make sure you watch the video first

Algebra Level 3

Before you begin this problem, take a moment to familiarize yourself with how big Graham's number is from its Wikipedia page or from a video by Numberphile, featuring Ronald Graham himself.


Let \(G\) be equal to Graham's number. In which of the following ranges does the value of \(\displaystyle\sum_{n=G}^\infty\dfrac{1}{n}\) fall?

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