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 $n$.) Question Help: $\square$ Message instructor Submit Question

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 \(\boxed{7.5 * 10^{(n-1)}}\)