# Is there a relation between arithmetic and geometric series for the same a and d=q.

Multiplication is repeated addition, so is there an explicit relation between arithmetic and geometric series if the first term is a and common difference d is equal to the common ratio q. Is it even possible to have such a case. This is not a textbook question,just something i am curious about.

Instead of $(a, d)$ I use $( P,n)$ in the same sense.
$A = P( 1 + r\cdot n)$
$A = P( 1 + r^ n)$