Question

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Answer 1

Population of the 48th generation will be 4469.

Explanation:

Recursive formula by which the population is increasing,

`L_(n+1)=L_n+95`

L₀ = 4

Common difference 'd' = 95

Recursive formula represents a linear growth in the population.

Therefore, explicit formula for the given sequence will be,

`L_n` = L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]

Here n = Number of terms

L₄₈ = L₀ + (48 - 1)(95)

= 4 + 4465

= 4469

Therefore, population of the 48th generation will be 4469.