The sum of the first n terms in the sequence 8, 88, 888, 8888, ….. is _____.

Options :

1. $\frac{81}{80}\left({10}^n-1\right)+\frac{9}{8}n$

2. $\frac{81}{80}\left({10}^n-1\right)-\frac{9}{8}n$

3. $\frac{80}{81}\left({10}^n-1\right)+\frac{8}{9}n$

4. $\frac{80}{81}\left({10}^n-1\right)-\frac{8}{9}n$