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  1. Assume that the annual growth GDP per capita is 2%, how much will the real GDP per capita increase in 10 years. I know the manual way is to take 2 percent every years. For example after 1 year would be (100 x 2 )/100 = 2. So it would be a total of 102. Is there a formula to calculate the percent after 10 years?
  2. Let’s say that China’s per capita GDP grow 9% a year for the next 16 years and 6% a year for the next 24 years. What is China’s per capita GDP in 40 years Well this one is kind of the same with the first one, is there a formula to calculate the percentage only. Thank you
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Value of GDP every year is in geometric progression with common ratio being 102/100 For value of gdp per capita in nth year, just find the value of (n-1)th term in the geometric progression.

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  • $\begingroup$ Can you please do an example? $\endgroup$ – Neil Feb 26 '18 at 12:11
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A hint for part 2. To obtain an approximate answer, it's convenient to use the rule that the doubling time $D$ in years of a quantity growing exponentially at a constant annual rate $r$ is given approximately by the rule of 72:

$$D = \frac{72}{r}$$

Given the assumptions in your question the numbers work out very neatly.

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