We are required to find the 14th term of the geometric sequence 3, 9, 27, 81,...
The 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969
Given:
3, 9, 27, 81,...
First term, a = 3
Second term;
a × r = 9
3 × r = 9
3r = 9
r = 9/3
r = 3
number of terms, n
nth term = a × r^(n - 1)
14th term = 3 × 3^(14 - 1)
= 3 × 3^13
= 3 × 1,594,323
= 4,782,969
Therefore, the 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969
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