Question

[nguyễn quỳnh anh]

Chứng tỏ: 1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 +.........+ 1/99 - 1/100 = 1/51 + 1/52 + 1/53 + .....+ 1/100

Answer 1

[híp]

1 - 1/2 + 1/3 - 1/4 +...+ 1/99 - 1/100

= (1 + 1/3 +...+ 1/99) - (1/2 + 1/4 +...+ 1/100)

= (1+1/2+1/3+...+1/100) - 2(1/2+1/4+...+1/100)

= (1+1/2+1/3+...+1/100) - (1+1/2+...+1/50)

= 1/51+1/52+...+1/100 (đpcm)

Answer 2

[nguyễn quỳnh anh]

thanks very much