Determine the Sum of the Following Infinite Series $\sum _ { k = 0 } ^ { \infty } ( - 1 ) ^ { k }$

Short Answer

Determine the sum of the following infinite series: $\sum _ { k = 0 } ^ { \infty } ( - 1 ) ^ { k }$ $\frac { 2 } { 7 \mathrm { k } }$ .
Enter just a reduced fraction of form $\frac { a } { b }$ .