consider the following graph of an exponential function model in the geometric sequence 1 3 9 27 which of the following statements are valid based on the graph? Represents the growth of the factor of the function... select all correct choices

[tex]\begin{gathered} r=\frac{T_n}{T_{n-1}} \\ r=\frac{T_0}{T_{-1}} \\ r=\frac{1}{(\frac{1}{3})} \\ r=1\div\frac{1}{3} \\ r=1\times\frac{3}{1} \\ r=3 \end{gathered}[/tex]

Correct

Option B

When we considered the coordinates (1, 3) and (2, 9)

Here, n = 2

[tex]\begin{gathered} r=\frac{T_n}{T_{n-1}} \\ r=\frac{T_2}{T_1} \\ r=\frac{9}{3} \\ r=3 \end{gathered}[/tex]

False

Option C

When we considered the coordinates (3, 27) and (2, 9)

Here n = 3

[tex]\begin{gathered} r=\frac{T_n}{T_{n-1}} \\ r=\frac{T_3}{T_2} \\ r=\frac{27}{9} \\ r=3 \end{gathered}[/tex]

Correct

Option D

When we considered the coordinates (0, 1) and (-1, 1/3)

Here, n = 0

[tex]\begin{gathered} r=\frac{T_n}{T_{n-1}} \\ r=\frac{T_0}{T_{-1}} \\ r=\frac{1}{(\frac{1}{3})} \\ r=1\div\frac{1}{3} \\ r=1\times\frac{3}{1} \\ r=3 \end{gathered}[/tex]

False

Option E

When we considered the coordinates (3, 27) and (2, 9)

Here n = 3

[tex]\begin{gathered} r=\frac{T_n}{T_{n-1}} \\ r=\frac{T_3}{T_2} \\ r=\frac{27}{9} \\ r=3 \end{gathered}[/tex]

False

Option F

When we considered the coordinates (1, 3) and (2, 9)

Here, n = 2

[tex]\begin{gathered} r=\frac{T_n}{T_{n-1}} \\ r=\frac{T_2}{T_1} \\ r=\frac{9}{3} \\ r=3 \end{gathered}[/tex]

Correct