Answer:
a(n) = 8 x 6^(n-1)
Explanation:
The sequence 8, 48, 288, ... is geometric because each term is the term before multiply by a common ratio, so:
8
8 x 6 = 48
48 x 6 = 288
Therefore, the equation of a geometric sequence is:
[tex]a_n=a_1r^{n-1}[/tex]Where a1 is the first term of the sequence and r is the common ratio. So, replacing a1 by 8 and r by 6, we get that the equation fo the n^th term of the sequence is:
[tex]a_n=8\cdot6^{n-1}[/tex]So, the answer is:
a(n) = 8 x 6^(n-1)
