Question

Answer 1

c) \(F=\dfrac{3^2}{8.11}+\dfrac{3^2}{11.14}+...+\dfrac{3^2}{197.200}\)

\(\Rightarrow\dfrac{1}{3}F=\dfrac{3}{8.11}+\dfrac{3}{11.14}+...+\dfrac{3}{197.200}\)

\(\Rightarrow\dfrac{1}{3}F=\dfrac{1}{8}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{14}+...+\dfrac{1}{197}-\dfrac{1}{200}\)

\(\Rightarrow\dfrac{1}{3}F=\dfrac{1}{8}-\dfrac{1}{200}\)

\(\Rightarrow\dfrac{1}{3}F=\dfrac{3}{25}\Rightarrow F=\dfrac{9}{25}\)