Step 1 :Identify the common difference between the terms of the arithmetic sequence, which is \(-5\)
Step 2 :Determine the first term of the sequence, which is \(5\)
Step 3 :Use the formula for the \(n\)th term of an arithmetic sequence: \(a_{n} = a_{1} + (n-1)d\), where \(a_{1}\) is the first term and \(d\) is the common difference
Step 4 :Substitute the values of \(a_{1}\) and \(d\) into the formula: \(a_{n} = 5 + (n-1)(-5)\)
Step 5 :Simplify the formula to get the final answer: \(\boxed{a_{n} = 5 - 5(n-1)}\)