Question

\(A=\frac{6}{2.4}+\frac{6}{4.6}+\frac{6}{6.8}+\frac{6}{8.10}+....+\frac{6}{30.32}+\frac{6}{32.34}\)

Tính A

Answer 1

=3(1/2 -1/34)=3(17-1)/34=3.16/34=24/17

Đs: 24/17

Answer 2

dễ

bằng 24/17

k cho mình nha

Answer 3

Đáp số:24/17

Answer 4

\(A=\frac{6}{2.4}+\frac{6}{4.6}+\frac{6}{6.8}+\frac{6}{8.10}+...+\frac{6}{30.32}+\frac{6}{32.34}\)

\(\Rightarrow A=3.\left(\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+\frac{2}{8.10}+...+\frac{2}{30.32}+\frac{2}{32.34}\right)\)

\(\Rightarrow A=3.\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+...+\frac{1}{30}-\frac{1}{32}+\frac{1}{32}-\frac{1}{34}\right)\)

\(\Rightarrow A=3.\left(\frac{1}{2}+0+0+0+...+0-\frac{1}{34}\right)\)

\(\Rightarrow A=3.\left(\frac{1}{2}-\frac{1}{34}\right)\)

\(\Rightarrow A=3.\frac{8}{17}\)

\(\Rightarrow A=\frac{24}{17}\)