Respuesta :
The Number of employees in the first five groups expressed as a sequence is 3, 9, 27, 81 and 243
Number of employees = 3
Each employee in each group employs 3 employees into the next group.
- Taking the number group as n
The number of employees in each group can be obtained using the expression :
[tex] {3}^{n} [/tex]
For the first group, n = 1
- Number of employees = [tex] 3^{1} = 3 [/tex]
For the second group, n = 2
- Number of employees = [tex] 3^{2} = 9 [/tex]
For the third group, n = 3
- Number of employees = [tex] 3^{3} = 27 [/tex]
For the fourth group, n = 4
- Number of employees = [tex] 3^{4} = 81 [/tex]
For the fifth group, n = 5
- Number of employees = [tex] 3^{5} = 243 [/tex]
The sequence of numbers representing the number of employees in the first five groups :
- 3, 9, 27, 81, 243
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