Answer:
a₇ = 192
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence.
r = 6 ÷ 3 = 12 ÷ 6 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
a₇ = 3 × [tex]2^{6}[/tex] = 3 × 64 = 192
