1. The sum of the series 1+5+10+16+23+... is equal to 16.
2. The article explains how this result can be derived using the binomial coefficient and geometric series.
3. It also provides an example of a different series and explains how to determine whether it is convergent or divergent.
The article is generally reliable and trustworthy, as it provides a clear explanation of the mathematical concepts involved in calculating the sum of the given series, as well as providing an example of a different series and explaining how to determine its convergence or divergence. The article does not appear to have any biases or one-sided reporting, as it presents both sides equally and does not make any unsupported claims. Furthermore, all evidence for the claims made is provided, with no missing points of consideration or unexplored counterarguments. There is no promotional content present in the article, nor does it appear to be partial in any way. Possible risks are noted where appropriate, such as when discussing Catalan’s constant which is not known whether it is irrational or transcendental. All in all, this article appears to be reliable and trustworthy overall.