Question

Tính hợp lí :

E= 5/1x2 +13/2x3 +25/3x4 +41/4x5 +...+181/9x10

Answer 1

E = \(\frac{5}{1.2}+\frac{13}{2.3}+\frac{25}{3.4}+..........+\frac{181}{9.10}\)

E = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...........+\frac{181}{9.10}\)

E = \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+........+\frac{1}{9}-\frac{1}{10}\)

E = \(\frac{1}{1}-\frac{1}{10}\)

E = \(\frac{9}{10}\)