The function that gives the value of tn for the geometric series is presented as follows;
[tex]t_n = 2 \times 3^{(n - 1)} [/tex]
The given geometric series is presented as follows;
2 + 6 + 18 + 54 +...
From the above series, we have;
The nth term of the geometric series is therefore;
[tex]t_n = a \cdot r^{(n - 1)} [/tex]
Which gives;
[tex]t_n = 2 \times 3^{(n - 1)} [/tex]
Where, tn is the nth term
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