Find the 10th term of the geometric sequence 3, comma, 15, comma, 75, comma, point, point, .3,15,75,...
To find the 10th term of the geometric sequence, we first need to find the common ratio. We can find the common ratio by dividing any term by the previous term.
The common ratio between the second term and the first term is $15/3 = 5$, and the common ratio between the third term and the second term is $75/15 = 5$. Since the common ratio remains the same, we can conclude that the common ratio for the entire sequence is 5.
To find the 10th term, we can use the formula for the nth term of a geometric sequence:
$t_n = t_1 \cdot r^{n-1}$
In this case, $t_1 = 3$, $r = 5$, and $n = 10$. Substituting these values into the formula, we have:
$t_{10} = 3 \cdot 5^{10-1}$
$t_{10} = 3 \cdot 5^9$
Calculating this expression, we find:
$t_{10} = 3 \cdot 1953125$
$t_{10} = 5859375$
Therefore, the 10th term of the geometric sequence is $\boxed{5859375}$.