Answer:
see explanation
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex]
The third term is the geometric mean of the first and fifth terms, that is
a₃ = [tex]\sqrt{3.5(283.5)}[/tex] = 31.5
The second term is the geometric mean of the first and third terms, that is
a₂ = [tex]\sqrt{3.5(31.5)}[/tex] = 10.5
The fourth term is the geometric mean of the third and fifth terms, that is
a₄ = [tex]\sqrt{31.5(283.5)}[/tex] = 94.5
Thus the sequence is
3.5, 10.5, 31.5, 94.5, 283.5
