Discussion
The 'geometrical increase method' for the forecasting of population is:
(Where, P = present population, i = yearly or per decade increase in population,
Ia = Average arithmetical increase, Ic = Average incremental increase)
Answer: C
The geometrical increase method gives \(P_{n} = P(1+ (i/100))^{n}\).
This method assumes the population grows by a constant percentage each decade, like compound interest. With present population P and average percentage growth rate i per decade, the population after n decades is:
\[ P_n = P\left(1 + \frac{i}{100}\right)^{n} \]
It suits young, rapidly growing towns. \(P + n \times i\) is the arithmetical increase method (constant absolute growth), and \(P + n(I_a + I_c)\) resembles the incremental increase method, which combines the average increase with the average incremental increase. The last option is not a recognised method.
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