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Susan starts her own telemarketing company by recruiting 3 employees into what she calls Recruiting Group 1. She requires each employee in Recruiting Group 1 to recruit 3 additional employees for Recruiting Group 2. The employees in each successive recruiting group must meet the same requirement of recruiting 3 additional employees

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The number of employees recruited into each group of the telemarketing company can be modeled by the function : [tex] N(n) = {3}^{n} [/tex]

The number of employees recruited per person = 3

Therefore, the total number of employees in any given group, n can be modeled as :

[tex] N(n) = {3}^{n} [/tex]

Where n = number of group.

This follows that :

For Group 1 ; n = 1

  • [tex] N(1) = {3}^{1} = 3 [/tex]

For Group 2 ; n = 2

  • [tex] N(2) = {3}^{2} = 9 [/tex]

For Group 3 ; n = 3

  • [tex] N(3) = {3}^{3} = 27 [/tex]

Therefore, the function [tex] N(n) = {3}^{n} [/tex] will give the Number of employees in any given group.

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