Question

[Nguyễn Hương Nguyên]

A=3/2.4+3/4.6+3/6.8+...3/49.51

B=5/1.3+5/3.5+3/5.7+...5/49.51

Ai trả lời nhanh và đúng thì mik tik. Tối thiểu thì trả lời 1 câu

THANK YOU NHÌU

Answer 1

[Đào Trọng Luân]

\(A=\frac{3}{2\cdot4}+\frac{3}{4\cdot6}+...+\frac{3}{48\cdot50}\)---> Mik nghĩ bn ghi nhầm :]

\(A=\frac{3}{2}\left[\frac{1}{2\cdot4}+\frac{1}{4\cdot6}+...+\frac{1}{48\cdot50}\right]\)

\(A=\frac{3}{2}\left[\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{48}-\frac{1}{50}\right]\)

\(A=\frac{3}{2}\left[\frac{1}{2}-\frac{1}{50}\right]=\frac{3}{2}\cdot\frac{12}{25}=\frac{18}{25}\)

Vậy A = 18/25

\(B=\frac{5}{1\cdot3}+\frac{5}{3\cdot5}+...+\frac{5}{49\cdot51}\)

\(B=\frac{5}{2}\left[\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+...+\frac{1}{49\cdot51}\right]\)

\(B=\frac{5}{2}\left[\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{49}-\frac{1}{51}\right]\)

\(B=\frac{5}{2}\left[1-\frac{1}{51}\right]=\frac{5}{2}\cdot\frac{50}{51}=\frac{125}{51}\)

Answer 2

[Nguyễn Hương Nguyên]

Mik ghi đúng mà

Huhu ai giúp mik với

Nhanh mik