Đáp án:

a, $$\frac{513}{514}$$ 

b,$$\frac{2021}{4046}$$

c,$$\frac{45}{34}$$

Giải thích các bước giải:

a, A.2 = 1 + $$\frac{1}{2}$$ + $$\frac{1}{4}$$ +...+ $$\frac{1}{514}$$

A.2 - A = 1- $$\frac{1}{514}$$ 

A = $$\frac{513}{514}$$

b,B = $$\frac{1}{2}$$ -$$\frac{1}{3}$$ + $$\frac{1}{3}$$ - $$\frac{1}{4}$$ +...+ $$\frac{1}{2022}$$ - $$\frac{1}{2023}$$ 

B = $$\frac{1}{2}$$ - $$\frac{1}{2023}$$

B = $$\frac{2021}{4046}$$

c, C = $$\frac{3}{2}$$ -$$\frac{3}{5}$$ + $$\frac{3}{5}$$ - $$\frac{3}{8}$$ +$$\frac{3}{8}$$ - $$\frac{3}{11}$$ + $$\frac{3}{11}$$ - $$\frac{3}{14}$$ + $$\frac{3}{14}$$ - $$\frac{3}{17}$$ 

C = $$\frac{3}{2}$$ - $$\frac{3}{17}$$

C = $$\frac{45}{34}$$