Compute the general term $\displaystyle {a}_{{n}}$ of the series with the partial sum $\displaystyle {S}_{{n}}={7}-\frac{{7}}{{n}},{n}>{1}$.

$\displaystyle {a}_{{n}}=$ Preview Question 1 Part 1 of 2  

If the sequence of partial sums converges, find its limit $\displaystyle {S}$. Otherwise enter DNE.

$\displaystyle {S}=$ Preview Question 1 Part 2 of 2