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The more electrons there are, the greater the shielding effect on the outermost electrons. So, since there are more electrons to repel each other, the attraction between an electron and the nucleus (nuclear attraction) decreases.
Yes, a higher number of electrons results in an increase in shielding and a decrease in effective nuclear charge. This is because an increased number of electrons between an atom's positive nucleus and the atom's valence electrons results in both increased attraction between the internal electrons and the nucleus as well as increased electron-electron repulsion (i.e. increased shielding). Because of this, it's almost like the nucleus has "less positive charge" that can effectively interact with the outer electrons... a decrease in effective nuclear charge due to an increase in shielding.
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