The phrase "at a rapidly" is not correct and usable in written English as it is incomplete.
It can be used in contexts where you want to describe something happening quickly, but it needs to be followed by a noun, such as "at a rapidly increasing rate."
Example: "The technology is advancing at a rapidly increasing rate, making it difficult to keep up."
Alternatives: "at a fast pace" or "at a quick speed."
Though those papers may be losing sales at a rapidly increasing rate, there is not the slightest sign of them relinquishing their influence.
That might be another eternal truth, that winners are people who win customers, except now it will happen at a rapidly accelerated rate.
The Ears of Influence In the months that followed, clemency applications from people convicted of drug crimes and other felons poured in to the Justice Department at a rapidly increasing rate.
The costs to national economics of providing health care are considerable and have been growing at a rapidly increasing rate, especially in countries such as the United States, Germany, and Sweden; the rise in Britain has been less rapid.
After quitting their jobs at a rapidly failing technology company in Vancouver, British Columbia, Chris Scott, 31, and Jamie McKeough, 33, spent some time in local spas and noticed "this overriding seriousness, like, 'We're going to save your soul,' " Mr. Scott said.
Still, commercial real estate investors are buying the policies at a rapidly escalating pace, motivated by eagerness to lock in loans while interest rates are low and sometimes by the desire to persuade banks to underwrite loans they might otherwise reject.
In addition to being a stay at home mom, she works at home for a rapidly growing start-up.
The stay-at-home dad is a rapidly growing phenomenon among America's parents.
Meyer said there is a "great urgency" to intervene and save cultural sites at risk from a rapidly warming planet.
Nationalism, at least in a rapidly advancing field like genomics, is increasingly regarded as a vestige of an era before Twitter and the Internet.
He now leads prayers and teaches Islamic studies at al-Falah, a rapidly growing mosque in Hamtramck that is renovating to accommodate all the new worshipers.
