\(K=\frac{1}{1.3}+\frac{1}{3.5}+...+\frac{1}{47.49}\)
\(=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{47}-\frac{1}{49}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{49}\right)\)
\(=\frac{1}{2}.\frac{48}{49}\)
\(=\frac{24}{49}\)
\(K\times2=\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{47.49}\)
\(K\times2=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{47}-\frac{1}{49}\)
\(K\times2=\frac{48}{49}\)
\(K=\frac{48}{49}\div2=\frac{24}{49}\)
\(K=\frac{1}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+..........+\frac{2}{47.49}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+........+\frac{1}{47}-\frac{1}{49}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{49}\right)\)
\(=\frac{1}{2}.\frac{48}{49}\)
\(=\frac{24}{49}\)
K=\(\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...\frac{1}{47}-\frac{1}{49}\right)\)
K=\(\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{49}\right)\)
K=\(\frac{1}{2}.\frac{48}{49}\)
K=\(\frac{24}{49}\)
\(K\times2=\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{47.49}\)
\(K\times2=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{47}-\frac{1}{49}\)
\(K\times2=\frac{48}{49}\)
\(K=\frac{48}{49}\div2=\frac{24}{49}\)
