Series Thing 2

Calculus Level 5

∑ n = 1 ∞ ( ln ⁡ ( n 6 ) − ln ⁡ ( n 6 − ( 1 2 ) 6 ) ) \large \sum _{n=1}^{\infty } \left(\ln \left(n^6\right)-\ln \left(n^6-\left(\frac{1}{2}\right)^6\right)\right)

Compute the closed form of the series above to 3 decimal places.


The answer is 0.0160194.

Christopher Criscitiello by Christopher Criscitiello , 25, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Hint: See https://brilliant.org/problems/series-thing/?ref_id=1433988.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...