`S = 1 + 1/3 + 1/6 + 1/10 + ... + 1/45`
`S = 2/2 + 2/6 + 2/12 + 2/20 + ... + 1/90`
`S = 2 . `($\dfrac{1}{1.2}$` + `$\dfrac{1}{2.3}$` + `$\dfrac{1}{3.4}$` + `$\dfrac{1}{4.5}` + ... +` $\dfrac{1}{9.10}$`)`
`S = 2 . (1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/9 - 1/10)`
`S = 2 . (1 - 1/10)`
`S = 2 . 9/10`
`S = 9/5`
`Vì` `9/5 < 2`
`=> S < 2`