Toán $\frac{1}{1.2}$ + $\frac{1}{2.3}$ + $\frac{1}{3.4}$ + … + $\frac{1}{99.100}$ 04/08/2021 By Bella $\frac{1}{1.2}$ + $\frac{1}{2.3}$ + $\frac{1}{3.4}$ + … + $\frac{1}{99.100}$
Đáp án+giải thích các bước giải: $\dfrac{1}{1.2}$ + $\dfrac{1}{2.3}$ + $\dfrac{1}{3.4}$ +…+ $\dfrac{1}{99.100}$ = $\dfrac{1}{1}$ – $\dfrac{1}{2}$ + $\dfrac{1}{2}$ – $\dfrac{1}{3}$ + $\dfrac{1}{3}$ – $\dfrac{1}{4}$ + …+ $\dfrac{1}{99}$ + $\dfrac{1}{100}$ = $1$ – $\dfrac{1}{100}$ = $\dfrac{99}{100}$ Trả lời
`1/(1.2) + 1/(2.3) + 1/(3.4) +…+1/(99.100)` `=[(1 – 1/2) + (1/2 – 1/3) + (1/3 – 1/4) +….+ (1/99 – 1/100)]` `=1 – 1/100` `= 99/100` `# Active Activity` Trả lời
Đáp án+giải thích các bước giải:
$\dfrac{1}{1.2}$ + $\dfrac{1}{2.3}$ + $\dfrac{1}{3.4}$ +…+ $\dfrac{1}{99.100}$
= $\dfrac{1}{1}$ – $\dfrac{1}{2}$ + $\dfrac{1}{2}$ – $\dfrac{1}{3}$ + $\dfrac{1}{3}$ – $\dfrac{1}{4}$ + …+ $\dfrac{1}{99}$ + $\dfrac{1}{100}$
= $1$ – $\dfrac{1}{100}$
= $\dfrac{99}{100}$
`1/(1.2) + 1/(2.3) + 1/(3.4) +…+1/(99.100)`
`=[(1 – 1/2) + (1/2 – 1/3) + (1/3 – 1/4) +….+ (1/99 – 1/100)]`
`=1 – 1/100`
`= 99/100`
`# Active Activity`