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Yes, the number of valence electrons increases as you go across a period which connects to the other trends that a) ionization energy increases as you cross a period from left to right because the outer shell is more and more stable because they are filling the octets of valence electrons and thus these atoms do not want to lose an electron and b) the valence electrons are being pulled closer to the nucleus because of the increasing number of protons which causes a decrease in atomic radius.
Going down the columns of the periodic table, elements exhibit similar characteristics due to identical valence electron structure. For example, H, Li, Na, and K all have one valence electron in the outer shell s-orbital. These are all highly reactive elements that are quick to give up this outer electron and form ionic bonds.
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