Sequential increase in population — task. Mathematics State Board, Class 10.

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Consider the young human population of a certain region increasing over the years in the given sequence.

a_{n} = \{\begin{array}{l} n^{2} (n + 29); n \in N is Female \\ {n (2 n}^{2} + 16); n \in N is Male \end{array}\}

[Note: '\(n\)' denotes the number of years]

Project the population of females after 19 years and the population of males after 22 years.

i) The population of females after 19 years \(=\)

ii) The population of males after 22 years \(=\)

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9. Sequential increase in population