Use the word succession to describe things that follow one another, as well as the order in which they do so. The Vice President is first in line of succession to be the President and the Secretary of State is fourth.

Sometimes when a leader dies, the one who rules after him is determined not by law as in the U.S. or blood as in a monarchy but by the dying leader himself. Dictators often groom one of their sons for succession. Figuratively, you can use succession to indicate that one thing after another has come and gone without taking hold. The storefront has been home to a succession of businesses, all of which have failed. Fashions come and go in quick succession.

Definitions of succession

n acquisition of property by descent or by will

taking over
Type of:
the act of contracting or assuming or acquiring possession of something

n a group of people or things arranged or following in order

“a succession of stalls offering soft drinks”
“a succession of failures”
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a succession of stages or operations or processes or units
an extended (often showy) succession of persons or things
run, streak
an unbroken series of events
losing streak
a streak of losses
winning streak
a streak of wins
Type of:
similar things placed in order or happening one after another

n the action of following in order

chess opening, opening
a recognized sequence of moves at the beginning of a game of chess
successive change from one thing or state to another and back again
Type of:
order, ordering
the act of putting things in a sequential arrangement

n a following of one thing after another in time

chronological sequence, chronological succession, sequence, successiveness
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pelting, rain
anything happening rapidly or in quick successive
a planned recurrent sequence (of crops or personnel etc.)
a continuous chronological succession without an interruption
an unbroken chronological sequence
Type of:
temporal arrangement, temporal order
arrangement of events in time

n (ecology) the gradual and orderly process of change in an ecosystem brought about by the progressive replacement of one community by another until a stable climax is established

ecological succession
Type of:
action, activity, natural action, natural process
a process existing in or produced by nature (rather than by the intent of human beings)

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