Answer:
[tex]T_7 = 136.6875[/tex]
Step-by-step explanation:
Given
12, 18, 27, ..
Required
Determine the 7th term
The above sequence shows a geometric sequence and the nth term is calculated by:
[tex]T_n = a * r^{n-1[/tex]
r is calculated by:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{18}{12}[/tex]
[tex]r = 1.5[/tex]
[tex]a = 12[/tex] --- First term
[tex]n = 7[/tex]
So:
[tex]T_n = a * r^{n-1}[/tex]
[tex]T_7 = 12 * 1.5^{7-1[/tex]
[tex]T_7 = 12 * 1.5^6[/tex]
[tex]T_7 = 136.6875[/tex]
