A an excellent place come start as soon as trying to figure out the electron configuration of an ion is the electron construction of the neutral parental atom.

In this case, titanium, #"Ti"#, is located in period 4, group 4 the the regular table and also has one atomic number of #22#.

This method that a neutral titanium atom will contain #22# proton in its nucleus and #22# electrons bordering its nucleus.

Therefore, the electron construction of a neutral titanium atom should account for #22# electrons. Consequently, the electron configuration of the titanium(II) cation, #"Ti"^(2+)#, need to account because that #20# electrons, due to the fact that this cation is formed when a neutral titanium atom loses #2# electrons.

The electron construction of a neutral titanium atom looks choose this

#"Ti: " 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^2#

Now, it"s essential to store in mind the this notation for the electron construction is beneficial when adding electrons to develop an atom "from scratch" because in the case, the #4s# orbital is to fill before the #3d# orbitals.

That happens because the empty #3d# orbitals room actually higher in power than the empty #4s# orbital, as checked out here

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However, once the #4s# orbital is filled, it becomes higher in power than the #3d# orbitals.


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This means that as soon as titanium loses electrons, the does so from the #4s# orbital first.

#"Ti: " 1s^2 2s^2 2p^6 3s^2 3p^6 3d^2 4s^2#

Therefore, the 2 electrons the are lost when the #"Ti"^(2+)# is developed will come from the #4s# orbital, which means that the electron configuration of the cation is

#color(green)(|bar(ul(color(white)(a/a)color(black)("Ti"^(2+): 1s^2 2s^2 2p^6 3s^2 3p^6 3d^2)color(white)(a/a)|)))#

If girlfriend want, you deserve to use the noble gas shorthand notation come write

#color(green)(|bar(ul(color(white)(a/a)color(black)("Ti"^(2+): <"Ar"> 3d^2)color(white)(a/a)|)))#

Here #<"Ar"># to represent the electron configuration of argon, the noble gas the comes automatically before titanium in the periodic table.