The phrase "continuing the example" is correct and usable in written English.
You can use it whenever you are referencing a previous example that you have already given and need to add additional details or further explain the example. For example, "John works as a mechanic. Continuing the example, he is also very knowledgeable about cars and can easily diagnose problems."
Continuing the example, the recruitment processes that draw men and women from the college-age population into the population of students may not be the same.
Continuing the example set by Arbus, a gritty sort of social documentation emerged beginning in the 1970s and '80s, when photographers such as Larry Clark and Nan Goldin documented alternative lifestyles involving drug addiction, transvestism, and casual sex.
Thus, continuing the example given above, if Company Y employed Google's Keyword Suggestion Tool, the Tool might suggest to Company Y that it purchase not only the term "furnace repair" but also the term "X," its competitor's brand name and trademark, so that Y's ad would appear on the screen of a searcher who searched Company X's trademark, seeking Company X's website.
Continuing the example, the author now adds more information to the NCL document.
Continuing the example in the 'Case study: DVD delivery' subsection of the 'Quasi-manual service creation' section, John is the business man which intends to offer a novel service.
Continuing the example, the knife could also be referring to a utensil or a weapon, but in context, it is most likely to be a weapon and not a 17th century butter knife stolen from a museum.
To continue the example of Mr. Friedman's daughters' schools, one thing they teach children now is to turn in peers with weapons and take threats of violence seriously.
To continue the example of the field R of real numbers: It is often not at all obvious whether two given structures are or are not elementarily equivalent.
Continue the example, as shown in Fig. 6, "learner 10" can start activity 1.2 "Discuss unknown words or concepts" of the module "Instance 1 of the deformed frogs" from the user agent.
At Bank of America, just to continue the example, fourth-quarter profits were down 95% over the previous year, after write offs for credit exposures, trading losses and rising credit costs.
