Question

M=3² /2.5+3²/5.8+3²/8.11+...+3²/98.101

Answer 1

\(M= \dfrac{3^2}{2.5} +\dfrac{3^2}{5.8} +\dfrac{3^2}{8.11}+...+\dfrac{3^2}{98.101}\)

\(M= \) \( \dfrac{9}{2.5} +\dfrac{9}{5.8} +\dfrac{9}{8.11}+...+\dfrac{9}{98.101}\)

\(M=3(\dfrac{3}{2.5}+\dfrac{3}{5.8}+\dfrac{3}{8.11}+...+ \dfrac{3}{98.101})\)

\(M= 3(\dfrac{1}{2} -\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11})\)

\(M= 3(\dfrac{1}{2}-\dfrac{1}{11})\)

\(M=3(\dfrac{11}{22}- \dfrac{2}{22})\)

\(M=3.\dfrac{9}{22}\)

\(M=\dfrac{27}{22}\)