  We study pulse propagation along decorated tapered granular chains without
precompression. Our goal is to generalize the results obtained in our previous
work, by analyzing a decorated chain with an arbitrary number of small grains
between the large ones. Making use of an effective description, where the
original decorated tapered chain is replaced by a non-decorated tapered chain
with effective masses interacting via an effective potential, and applying the
binary collisions approximation, we calculate the residence time of the pulse
on each effective large grain. We also present the comparison between the
numerical integration of the equations of motion and our analytical predictions
which show the agreement to be very good for the pulse velocity, albeit only
qualitatively for the velocity of the grains.
