Question

G = ³⁶/_1.3.5 + ³⁶/_3.5.7 + ³⁶/_5.7.9 + ... + ³⁶/_25.27.29

tính G

Answer 1

cho ti

Answer 2

\(G=9\cdot\left(\frac{4}{1\cdot3\cdot5}+\frac{4}{3\cdot5\cdot7}+\frac{4}{5\cdot7\cdot9}+....+\frac{4}{25\cdot27\cdot29}\right)\)

\(G=9\cdot\left(\frac{1}{1\cdot3}-\frac{1}{3\cdot5}+\frac{1}{3\cdot5}-\frac{1}{5\cdot7}+.....+\frac{1}{25\cdot27}-\frac{1}{27\cdot29}\right)\)

\(G=9\cdot\left(\frac{1}{1\cdot3}-\frac{1}{27\cdot29}\right)\)

\(G=9\cdot\left(\frac{1}{3}-\frac{1}{783}\right)\)

\(G=9\cdot\left(\frac{261}{783}-\frac{1}{783}\right)\)

\(G=9\cdot\frac{260}{783}\)

\(G=\frac{260}{87}\)