Puzzle of the Day 403!

[captaino]

In this week's episode of "Downton Abbey", Carson the butler develops a drinking problem

Comments

[wantonhalo]

Let g_n be the number of glasses in the Nebuchadnezzar at the end of the nth day. So we want to find g_0, and have the recurrence:

g_(n+1) = g_n - g_n/g_0 = g_n(1 - 1/g_0)

So g_n = g_0(1 - 1/g_0)^n, meaning that:

g_0/2 = g_0(1 - 1/g_0)^14
2^(-1/14) = 1 - 1/g_0
g_0 = 1 / (1 - 2^(-1/14) or about 20.7 glasses

[captaino]

Yay! Nice solution!

PotD 402! is a multi-parter that's begging for somebody to solve it.

[captaino]

Yay! Nice solution!

PotD 402! is a multi-parter that's begging for somebody to solve it.