The phrase "succeeded one another" is correct and usable in written English.
It can be used to describe a sequence where one person or thing follows another in a specific order.
Example: "The events succeeded one another rapidly, leaving the audience in awe."
Alternatives: "followed each other" or "came one after another."
In the 10 years that Ms. del Corte Hirschfeld and Mr. Leiner have lived in their apartment, four commercial tenants have succeeded one another on the building's ground floor: El Caribe Driving School; a Pentecostal church; a Stretch-a-Dollar store; and currently, an employment center for day laborers.
As monarchs, emperors and republics succeeded one another during the 1800's, the church inserted itself into politics by joining with forces that were enemies of the rights of man and the republican ideas of the Revolution.
Wars, invasions, occupations, the undermining or overthrow of governments, brutal acts and conflicts of every sort succeeded one another in the years of American glory.
No more than two instances of the same stimulus category (CV or NV) succeeded one another.
Then he picked the videos up off the floor, put the one with Ignacio López Tarso in the VCR, and as the soundless images succeeded one another on the screen, he began to cry.
Triangles, circles, a grasshopper, red berries, a pink flower, a toe, Mount Analogue, a flickering light bulb, a smokestack — images succeeded one another on the grid, in richly colored syncopation.
As she puts it in the opening chapter: "Events and places succeed one another like items on a shopping list.
Our data alone cannot show whether dryland and wetland assemblages succeed one another temporally, or coexisted on the landscape.
When the cylinder is spun, the slits blur together to the eye but have the effect of showing the images on the inside clearly as if they are succeeding one another — an elementary form of animation.
The official annual art shows, the salons, succeed one another - and, with very slight fluctuations, Meissonier goes on being honoured and Manet goes on being covered in scorn.
The knot tightens, as scenes from each of the three epochs succeed one another.
