Answer:
The 7th term is 729
Step-by-step explanation:
Given
[tex]Sequence: 1, 3, 9...[/tex]
Required: Determine the 7th term
The given sequence is a geometric function. So, we calculate the common ratio (r) first.
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{3}{1}[/tex]
[tex]r = 3[/tex]
The nth term of gp is:
[tex]T_n = ar^{n-1[/tex]
Where
[tex]a = T_1[/tex]
The 7th term is:
[tex]T_7 = ar^{7-1[/tex]
[tex]T_7 = ar^6[/tex]
[tex]T_7 = 1 * 3^6[/tex]
[tex]T_7 = 729[/tex]
