This is a problem solved using the Bellman equation. But I don't understand the calculation process from K$=1..$

I ask for your helpk$=0$

$k=2$

$k=1$

$k=3$

Longrightarrow

$\backslash$table$[[-3\mathrm{.}0,-3\mathrm{.}0,-3\mathrm{.}0,-3\mathrm{.}0],[-3\mathrm{.}0,-3\mathrm{.}0,-3\mathrm{.}0,-2\mathrm{.}94],[-3\mathrm{.}0,-3\mathrm{.}0,-2\mathrm{.}88,-2\mathrm{.}4],[-3\mathrm{.}0,-2\mathrm{.}94,-2\mathrm{.}4,0\mathrm{.}0]]$

$k=$

$|4-5|$