The recursive formula is for arithmetic sequence where A1 is the first term \((A1=100)\) and the common difference is \(d=5\).

The explicit formulf is given by: \(A(n)=A1+(n-1)d\)

So, we have: \(A(n)=100+(n-1)(5)\)

\(A(n)=100+5(n-1)\)

So, the correct answer is choice C.