The HDI for Burkina Faso is $0.388$. Annually, its average HDI increases by $2.6090\%$. If this continues what will the HDI be by $2025$ and again by year $2050$?
2026-03-27 13:27:31.1774618051
What will the average amount be by year 2025 and 2050?
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If this year's HDI is $x$, next year it will be $$x + \frac{2.6090}{100}x = \left(1 + \frac{2.6090}{100}\right)x = 1.026090x$$
If you repeat the above reasoning (for example, call the result $y$ and calculate again), you will obtain that, after $n$ years, the HDI will be $$1.026090^nx$$
Therefore, by $2025$ it will be $$1.026090^{2025-2014}\cdot0.388 \approx 0.5150765$$
You can repeat the calculation with $2050$.