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 $7.5 * 10^{(n - 1)}$

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 $7.5 * 10^{(n - 1)}$