Three Countries Have Different Levels of Gross Domestic Product GDP)

Three countries have different levels of gross domestic product GDP) per capita and different growth rates of GDP per capita, as identified in the table. $$\begin{array} { l l c } \hline \text { Country } & \text { GDP per capita } & \begin{array} { c } \text { Growth rate of } \\\text { GDP per capita }\end{array} \\\hline \text { Bohemia } & \$ 44,000 & 2.5 \text { percent } \\\text { Andover } & \$ 32,000 & 5 \text { percent } \\\text { Catalonia } & \$ 30,000 & 1.25 \text { percent } \\\hline\end{array}$$ Suppose the annual growth rates listed in the table remain the same in the upcoming years. Making reference to the rule of 70, would one expect the levels of GDP per capita in these three countries to converge? Why might the three countries have such different growth rates?