Talk:Zed/@comment-25364408-20161216074948/@comment-28977071-20161224163355

The "infinite increase of the sum" and the "infinitely increasing sum" are two very distinct terms with the only corelation that the latter implies the former..

A sum of infinite series increasing at the decreasing rate can be finite or infinite, there is no implication.

In this case the is increasing infinitely as the process itself has no limit, even though the sum has one, so Draven, the Glorious Executioner is right, it is the infinite increase with the finite sum.

Degritone charged in the right direction, the increase is truly the geometric series, albeit with slightly different formula, and with n, not x, mattering to be more or less than one. Anyway, it is $$\frac{20}{17}$$, hence really more than one.

However the entire spreadsheed or geometric series weren't needed as one can simply derive the desired limit as the equilibrium of a Markov chain in a single-line computation, getting $$138\frac{14}{17}\approx 138.823 529 4$$.

That implies that the values in the sheet have an error as they've got far above the value. Particularly, the formula for the D7 cell should be only B7+C8 instead of B7+C8+D6 as now the value of D6 was counted twice.