succeeding

verb

To follow in order; to come next after; hence, to take the place of.
Autumn succeeds summer.
To obtain the object desired; to accomplish what is attempted or intended; to have a prosperous issue or termination; to be successful.
The persecution of any righteous practice has never succeeded in the face of history; in fact, it can expedite the collapse of the persecutory regime.
To fall heir to; to inherit.
So, if the issue of the elder son succeed before the younger, I am king.
To come after; to be subsequent or consequent to; to follow; to pursue.
To support; to prosper; to promote.
To come in the place of another person, thing, or event; to come next in the usual, natural, or prescribed course of things; to follow; hence, to come next in the possession of anything; -- often with to.
To descend, as an estate or an heirloom, in the same family; to devolve.
To go under cover.

noun

Success

adjective

Following, next in order.