The phrase "a consequence of rapidly" is not complete on its own but can be correct and usable in written English when placed in a proper context.
You can use it when discussing the effects or results of something that is happening quickly or at a fast pace.
Example: "The increase in pollution is a consequence of rapidly industrializing cities."
Alternatives: "result of swift" or "outcome of quick".
As a consequence of rapidly evolving technology and the quite poor evidence base regarding natural history, costs, and health outcomes, many evaluations have been of limited value in informing routine clinical practice.
The term twenty-first century learning is widely used to encapsulate the idea that fundamental changes in the nature of learning and education have occurred in the twenty-first century as a consequence of rapidly changing technologies and globalisation (Kereluik, Mishra, Fahnoe, & Terry, 2013).
Long-branch attraction mainly occurs as a consequence of rapidly evolving sites, and removal of such sites from the analysis can reduce the effects of long-branch attraction [ 18].
This debate takes place in the context of the limited clinical information typically available to the radiologist and such discussions are a consequence of rapidly advancing techniques with attendant lack of knowledge of their implications.
The town was originally two separate communities, Beau Bassin and Rose Hill, but these have now merged into one, as a consequence of the rapidly increasing island population.
As a consequence of the rapidly increasing number of available bifidobacterial genome sequences and their analysis, there has been substantial progress in the identification of bifidobacterial structures involved in colonisation of and interaction with the host.
Others may be truly unexpected, as a consequence of a strong, rapidly changing, forcing of a non-linear system.
A consequence of the high metabolism of rapidly growing cancer cells is the rapid generation of cellular ROS.
In such cases nationalisation is not an end in itself, but a consequence of the policy that most rapidly returns the banking system to health.
The globalization process has had its bumps, of course, as reflected recently by rising commodity prices, but that is largely a consequence of how much and how rapidly prosperity has grown.
RNA viruses are renowned for their ability to evolve rapidly, a consequence of high mutation rates, rapid replication and large population sizes [2].
