Question

 Tìm A :

A=1/2.5+1/5.8+1/8.11+............+1/92.95+1/95.98

Answer 1

\(A=\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+....+\frac{1}{92.95}+\frac{1}{95.99}\)

\(A=\frac{1}{3}\left(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+....+\frac{1}{92}+\frac{1}{95}\right)\)

\(A=\frac{1}{3}\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{92}-\frac{1}{95}\right)\)

\(A=\frac{1}{3}\left(\frac{1}{2}-\frac{1}{95}\right)\)

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