A =1/2+1/3+ 3 chấm +1/2018 +1/2019 B = 2018/1+2017/2+2016/3+ 3 chấm + 3/2016+2/2017+1/2018 Tính (5/2019 nhân A) mũ 2019

21/10/2021 Bởi Bella

A =1/2+1/3+ 3 chấm +1/2018 +1/2019
B = 2018/1+2017/2+2016/3+ 3 chấm + 3/2016+2/2017+1/2018
Tính (5/2019 nhân A) mũ 2019

0 bình luận về “A =1/2+1/3+ 3 chấm +1/2018 +1/2019 B = 2018/1+2017/2+2016/3+ 3 chấm + 3/2016+2/2017+1/2018 Tính (5/2019 nhân A) mũ 2019”

thienthanh

21/10/2021 vào lúc 08:25

Đáp án: $\to B = 2019 (\frac{1}{2} + . . + \frac{1}{2017} + \frac{1}{2018} + \frac{1}{2019})$

$B = \frac{2018}{1} + \frac{2017}{2} + . . + \frac{2}{2017} + \frac{1}{2018}$

$\to B = 1 + (1 + \frac{2017}{2}) + . . + (\frac{2}{2017} + 1) + (\frac{1}{2018} + 1)$

$\to B = 1 + \frac{2 + 2017}{2} + . . + \frac{2017 + 2}{2017} + \frac{2018 + 1}{2018}$

$\to B = 1 + \frac{2019}{2} + . . + \frac{2019}{2017} + \frac{2019}{2018}$

$\to B = \frac{2019}{2} + . . + \frac{2019}{2017} + \frac{2019}{2018} + 1$

$\to B = 2019 (\frac{1}{2} + . . + \frac{1}{2017} + \frac{1}{2018} + \frac{1}{2019})$

$\to B = 2019 A$

$\to \frac{A}{B} = \frac{1}{2019} < \frac{1}{2018}$

$\to \frac{A}{B} = \frac{1}{2019} < \frac{1}{2018}$

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