Question

[Đỗ Thế Hưng]

C =\(\frac{3}{4}+\frac{5}{9}+\frac{8}{16}+........+\frac{999}{1000}\)

CMR : C < 98

Answer 1

[Do Thi Mai]

C= (1 - \(\frac{1}{2^2}\))+(1 - \(\frac{1}{3^2}\) )+(1 - \(\frac{1}{4^2}\))+.......+(1 - \(\frac{1}{100^2}\))

  =98 - (\(\frac{1}{2^2}\)+\(\frac{1}{3^2}\)+\(\frac{1}{4^2}\)+........+\(\frac{1}{100^2}\))

=> C< 98            bn xem lai nha hinh nhu de sai  phai cong den \(\frac{9999}{10000}\)

Answer 2

[Đỗ Thế Hưng]

Uk hinh nhu sai