How to show the sequence $\left\{6(-\frac{5}{6})^n\right\} _{n=1}^\infty$ converges to $0$?
We recognize a geometric sequence. We take $r=-5/6$ and see that $|r| < 1$ so $6 (-5/6)^n \to 0$ (see here for a proof).
We recognize a geometric sequence. We take $r=-5/6$ and see that $|r| < 1$ so $6 (-5/6)^n \to 0$ (see here for a proof).