  We use scanning tunneling microscopy to investigate Bi2Sr2Ca2Cu3O10+{\delta}
trilayer cuprates from the optimally doped to overdoped regime. We find that
the two distinct superconducting gaps from the inner and outer CuO2 planes both
decrease rapidly with doping, in sharp contrast to the nearly constant Tc.
Spectroscopic imaging reveals the absence of quasiparticle interference in the
antinodal region of overdoped samples, showing an opposite trend to that in
single- and double-layer compounds. We propose that the existence of two types
of inequivalent CuO2 planes and the intricate interaction between them are
responsible for these highly anomalous observations in trilayer cuprates.
