so, let's first change the bounds from 1 to 9, so we'll be dropping the indices by 1, in order to do the variable "n".
however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus k = n - 1.
however, if k = n - 1, then k + 1 = n. So let's use those fellows then,