The phrase "a sequence of smaller" is correct and usable in written English.
It can be used when describing a series or arrangement of smaller items or elements within a larger context.
Example: "The project was divided into a sequence of smaller tasks to make it more manageable."
Alternatives: "a series of smaller" or "a chain of smaller".
Another inspiration was the Hagia Sophia, with its breathtaking, spacious interior, reached by moving through a sequence of smaller spaces.
Eventually you descend through a sequence of smaller galleries, where the glories of the High Classical period gradually give way to Roman copies of Greek antiquities.
Computational thinking teaches you how to tackle large problems by breaking them down into a sequence of smaller, more manageable problems.
A sequence of smaller strikes has killed half a dozen foreign workers, most of them westerners, in the last seven years.
He says there is no one "go live" moment with such a huge project, but a sequence of smaller moments—he likens it to changing the wheels on a moving vehicle.
Clark historically has sold stakes in the firms he once ran in a sequence of smaller chunks that add up to a large portion.
Inside the bag is a page of rubbings taken from a sequence of small bronze reliefs of New York landmarks; one of the landmarks is conspicuously missing.
Luis Carlos Hurtado's hand-written account of his adventures in the Yucatán is illuminated with a sequence of small, wonderful overlapping landscapes.
At Momofuku Ssam Bar, where you're encouraged to build a meal from a sequence of small, medium and large plates, you'd probably need five selections, including dessert, to match that amount of food, and you could easily spend $68 in the process.
The Joseph Rowntree Foundation last week released their minimum income standard figures for 2015: the MIS is reached in a citizen's jury style: a sequence of small groups are asked to figure out the least a person would need to live an acceptable life.
