Final answer:
Per-capita income in East Asian economies grew significantly every generation, with South Korea, for example, experiencing annual GDP per capita growth rates of 11% to 12% during its high growth period.
Step-by-step explanation:
The student asked about the increase in per-capita income in East Asian countries such as Hong Kong, Singapore, South Korea, and Taiwan by a certain multiple every generation. Looking at the rapid economic development of these regions, especially from the mid-twentieth century onward, it's observed that countries like South Korea experienced impressive growth rates of 11% to 12% per year in GDP per capita during their high growth periods. Such high growth rates can potentially result in a doubling or even higher increase in income levels every generation depending on the compounded rate over time.