Answer
$$2 \times 10^{-11}$$
Work Step by Step
Consider: $S_n=a_1-a_2+......+(-1)^{n+1}a_n$
and $$|S-S_n|=\leq |a_{n+1}| \\ \implies |\space Error |=|S-S_4| \leq |a_{4+1}|=|a_5| \\ \implies |(-1)^6 \times (\dfrac{0.01}{5})^5| \\=2 \times 10^{-11}$$
