Find the nth term of the geometric sequence whose initial term is $a_{1}=7.5$ and common ratio is 10 .
\[
a_{n}=
\]
(Your answer must be a function of $n$.)
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So, the nth term of the geometric sequence is $\boxed{7.5 * 10^{(n-1)}}$

Steps

Step 1 ：Given that the first term $a_1 = 7.5$ and the common ratio $r = 10$

Step 2 ：The nth term of a geometric sequence can be found using the formula: $a_n = a_1 * r^{(n-1)}$

Step 3 ：Substitute the given values into the formula to find $a_n$

Step 4 ：$a_n = 7.5 * 10^{(n-1)}$

Step 5 ：So, the nth term of the geometric sequence is $\boxed{7.5 * 10^{(n-1)}}$