Waste less time on Facebook — follow Brilliant.

Comparing Two Sequences

I was recently shown that the integer sequences \(\lfloor\frac{2n}{\ln 2}\rfloor\) and \(\lceil\frac{2}{2^{1/n}-1}\rceil\) agree for a very large number of terms.

Can you show analytically that one of these must eventually surpass the other?

Note by Eric Edwards
3 years, 12 months ago

No vote yet
3 votes


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...