Find the 9th term of the geometric sequence 9, 27, 81, ...​

a(9) = 59049

Step-by-step explanation:

The general term of a geometric sequence is a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, each new element is found by multiplying the previous one by 3.  Thus, r = 3, and the general geometric series for this particular series is

a(n) = 9*3^(n - 1)

The 9th term is a(9) = 9*3(9 - 1) = 9*3^8 = 59049

step-by-step explanation: